20132. Determine the horizontal component of earth's magnetic field and moment of a magnet. 3....

$: 20132. Determine the horizontal component of earth's magnetic field and moment of a magnet. 3. Determine the wavelength of light using plane diffraction grating. 4. Determine the wavelength$
V-UG-Psy(H)-XI (Pract)

2013Full Marks - 40Time - 6 Hours

The questions are of equal valueAnswer one question from each session

Morning Session

1. Measure and compare the attitudes of college studentstowards women by using 'Attitude towards Women'scale.

2. Demonstrate experimentally STM as a function ofretention interval.

3. Locate atleast four complex indicators of your 'S' usingWord Association Test.

Afternoon Session

4. Find out whether your 'S' posses Type-A personalityor Type-B personality with either inrternal or externallocus of control.

5. Assess the personality of your 'S' by administering'Extraversion and Neuroticism' personality inventory.

6. Demonstrate experimentally the effect of similarity onRetro-active Inhibition.

Distribution of Marks in each Session

Experiment 10

Record 04

Viva-Voce 06

V-2-0.5

[ 2 ]

V-2 [Turn Over

V-UG-Phy(H)-XI (Pract)


The figures in the right-hand margin indicate marksAnswer any one question from Group-A

Group-B is Compulsory

GROUP - A 30

1. Callibrate the set of weights.

2. Determine Poisson's ratio of rubber.

3. Determine Young's modulus by bending of a beam.

4. Determine Coefficient of viscosity by oscillating discmethod.

5. Determine thermal conductivity of a bad conductor byLee's disc method.

6. Determine the mechanical equivalent of heat by Joule'sCalorimeter.

7. Determine the moment of inertia of a flywheel.

8. Determine the mechanical equivalent of heat byCallendar Barne's method.

V-3 [Turn Over

9. Determine the diameter of a narrow wire by opticalbench.

10. Determine the rotativity of sugar solution by using apolarimeter.

11. Callibrate the given meterbridge.

12. Draw the static characteristics of a P.N. Junction.

13. Find out the sum of a infinite series by using a PC.

14. Solve a quadratic equation using C++ language.

GROUP - B

15. Viva-Voce. 12

16. Record. 8

Scheme of Valuation

Record 08

Viva 12

Experiment 30

V-3-0.5

[ 2 ]

V-UG-Chem(H)-XI (Pract)


The figures in the right-hand margin indicate marksAnswer all questions

1. Estimate the amount of Copper present in the suppliedsolution by iodometry using K2Cr2O7 solution of

strength ________ N10FH

IK . 35

OR

Determine the percentage composition of Fe2+ and Fe3+

in the supplied iron solution using standard K2Cr2O7

solution of strength ________ N10FH

IK . 35

OR

Estimate the amount of Barium in the suppliedBaCl2 solution by gravimetric method. 35

2. Viva-Voce. 10

3. Record. 5

V-4 [Turn Over

Scheme of Valuation

For volumetry :

a) Standardisation 13

b) Involve Titration 19

c) Calculation 3

For gravimetry :

a) General Working 3

b) Weighing the ppt 5

c) Result 27

V-4-0.5

[ 2 ]

V-UG-Bot(H)-XI (Pract)



1. Perform any one of the following choosen by lot : 20

a) Determine the relation between transpiration andthe transpiring surface.

b) Determine the osmotic pressure of the cell-sap ofthe given plant material by plasmolytic method.

c) Determine the D.P.D. of a suitable plant material(storage tissue).

d) Study the effect of different known conc. of CO2

on the rate of photosynthesis of a hydrophyte.

e) Determine the rate of photosynthesis of an equaticplant in different wavelength of light.

f) Determine the rate of photosynthesis of an aquaticplant at different temperature.

g) Determine the pattern of water uptake in starchy,oily and proteinaceous seeds.

V-5 [Turn Over

h) Determine the absorbance maxima ofBromophenol blue.

i) Beer-Lambert law validation in Calorimeter/Spectrophotometer.

2. Estimate the soil moisture of different soil type clay,sandy and loamy. 6

3. Study the morphology and anatomy of the suppliedspecimen and give labelled diagrams. Comment on theadaptive features. 6

4. Determine the plant community of an area by usingquadrat method. Find out the number of plant speciesand frequency distribution of individual species. 7

5. Viva-Voce. 6

6. Class Record. 5

V-5-0.5

[ 2 ]

V-UG-Zool(H)-XI (Pract)



Give labelled diagrams wherever necessary

1. Conduct any two biochemical experiments as per theinstruction of examiners. 10 × 2

a) Preparation of standard curve for protein solution.

b) Qualitative tests for reducing sugar.

c) Determination of absorbance maxima ofBromophenol blue.

d) Validation of Beer-Lambert law in Colorimeter/Spectrophotometer.

e) Qualitative tests for Proteins.

2. Identify and comment upon the spots 2(i) to 2(v) withreasons. 1½ × 5

3. Prepare two models of biomolecules as per theinstruction of examiners. Characterize, identify andsubmit your prepared models. 3½ × 2

V-6 [Turn Over

4. Perform the biostatistical experiment/solve thebiostatistical problem as per the instruction ofexaminers. 5½

5. Practical Record and Sessional Preparations. 5

6. Viva-Voce. 5

V-6-0.5

[ 2 ]

V-UG-C.Sc(H)-XI (Pract)


The figures in the right-hand margin indicate marksAnswer all question

C++

1. Answer any three of the following : 15a) Write a program to declare three classes S1, S2,

S3. The classes have a private data numbervariable of character array data type. Read stringfor the classes S1 and S2. Concatenate the stringsread and assign into the data member variable ofclass S3.

b) Write a program to multiply an integer and anobject using friend function.

c) Write a program to declare two classes Rupeesand Dollars. Declare object of both the classes.Convert rupees to dollars. Perform conversionusing user-defined conversion routines.

d) Create a class employee which contains thefollowing details :* employee number* name* salary

V-7 [Turn Over

Include a member function called getdata ( ) toget data from user for insertion into the object andanother function put data ( ) to display the data.Write another function increment ( ) to increasethe salaries of all employees by 20%.

e) Write a function called power ( ) that takes adouble value for n and an int value for p, and returnthe result as double value. Use a default argumentof 2 for p, so that if this argument is omitted, thenumber will be squared. Write a main ( ) functionthat gets values from the user to test this function.

Networking

2. Write down the steps to do the following : 5

a) Mapping your drive in networking mode.

b) Check the IP address and subnet Mask in DOSmode.

c) Create e-mail account and send a file to one ofyour friend.

d) Connection of two computers by creating crossesover connections.

e) Draw a diagram to STRAIGHT CABLE.

Java

3. Answer any one of the following : 5

a) Write a Java program to enter two numbers fromthe keyboard and swap the number without usingthird variable.

b) Write a Java program to enter a number and printthe reverse of it.

Graphics

4. Answer any one of the following : 5

a) Write a program to draw a line.

b) Write a program to draw a circle.

5. Record. 8

6. Viva-Voce. 12

V-7-0.5

[ 3 ][ 2 ]

III-UG-Phy(H)-VI (Pract)



Group-B is compulsory

GROUP - A (15 Marks)

1. Determine the specific heat of a solid by the method ofmixture using radiation correction.

2. Determine the horizontal component of earth'smagnetic field and moment of a magnet.

3. Determine the wavelength of light using planediffraction grating.

4. Determine the wavelength of light using Newton's ringapparatus.

5. Determine the correct resistance of a wire using endcorrection of a Meterbridge.

6. Determine the resistance of a galvanometer by Kelvin'smethod.

7. Determine the coefficient of viscosity by capillary flowmethod.

8. Determine the sum of A.P./G.P. series by using a PCwith C++ language.

GROUP - B

9. Record. 4

10. Viva-Voce. 6

V-10-0.5

V-10 [Turn Over

[ 2 ]

III-UG-Bot(H)-VI (Pract)



1. Describe the technique of Hybridization of the suppliedspecimen. 6

2. Perform any one of the following experiments chosenby lot. Write theory, procedure, tabulation and giveconclusion based on tabulation data : 6

a) Calculation of Arithmetic mean, S.D., SEM of thearea of ten (10) leaves of a given specimen (graphor L/B method).

b) For a given sample of 10 fruits of same kindcalculate arithmetic mean, SD and SEM of theseeds.

c) Calculate the internode length of 10 plants of agiven species. Find out mean, SD and SEM.

d) Find out the light of 10 seedling and calculate themean, SD and SEM.

V-12 [Turn Over

3. Calculate the 2 test to goodness of fit to MendelianRatio of the given specimen at 5% level ofsignificance. 6

4. Viva-Voce. 5

5. Class Record. 2

V-12-0.5

[ 2 ]

III-UG-Zool(H)-VI (Pract)




1. Conduct any one of the following experiments as perinstruction of examiners. 8

i) Estimation of pH of the supplied soil sample.

ii) Quantitative analysis of Organic Carbon in soil.

iii) Estimatation of salinity value of the supplied soilsample.

OR

Any other experiment may be given as per thesyllabus.

2. Identify and comment upon the spots 2(i) to2(iv) relating to their importance in resourcebiology. ½ × 4

3. Prepare the project/model/field report pertaining tothe syllabus and submit as per the instruction ofexaminers. 5

V-13 [Turn Over

4. Prepare the permanent microscopic slide of thesupplied material/specimen as per the instruction ofexaminers. Submit it with proper identification andlabelled diagram. 4

5. Practical Record and Sessional preparations. 3

6. Viva-Voce. 3

V-13-0.5

[ 2 ]

III-UG-C.Sc(H)-VI (Pract)


The figures in the right-hand margin indicate marksAnswer any three questions from Group-A


GROUP - A

1. An electricity board charges the following rates todomestic users for the consumption of energy.

For the first 50 units Rs.2 per unit

For 51 to 200 units Rs.4 per unit

For 201 to 400 units Rs.5 per unit

For 401 above Rs.6 per unit

All users are charged a minimum of Rs.500. If the totalcost is more that Rs.250 then an additional surchargeof 15% is added. Write a 'C' program to read the namesof users and number of units consumed and print outthe charges with names. 5

2. Write a 'C' program which read two strings andconcatenate the largest string to the smallest string(among the two strings). Make necessary assumption.Do not use standard available function in 'C'. 5

V-14 [Turn Over

3. Write a 'C' program to print the factorial value of anumber entered by user recursively. 5

4. Write a program to accept record of 10 employees usingstructure having employee code, name and basic payand display them. 5

5. Write a 'C' program to search a number in an array of10 elements using binary search. 5

6. Write a 'C' program for push and pop operation in astack using array. 5

GROUP - B

7. Record. 5

8. Viva-Voce. 5

V-14-0.5

[ 2 ]

III-UG-Zool(EL)-VI (Pract)



1. Disect and display any one of the following system asper the instruction of the examiners and draw a neatlabelled diagram of your dissection. 8

a) Afferent branchial arteries of Scoliodon

b) 9th and 10th Cranial nerves of Scoliodon

c) Arterial system of Calotes.(Dissection- 5, Display- 1, Labelled Diagram- 2)

2. Identify with comments of the spots from I toVI. 1 × 6

(Two microscopic slides, two bones and two museamspecimens related to syllabus)

3. Solve the biostatistical problem as set by theexaminer. 5

4. Practical record (Regularly signed by teacher) andsessional preparations. 3

5. Viva-Voce. 3

V-18-0.5

I-UG-Edn(H)-II (Pract)



1. Prepare a lesson plan on any school subject (methodof your teaching) and deliver the lesson in a simulatedsituation. 10

2. Record. 4

3. Viva-Voce. 6

V-19-0.5

I-UG-Psy(H)-II (Pract)




GROUP - A

1. Demonstrate experimentally the progress of learningand forgetting of your 'S' while learning a list ofNonsense syllables. 10

2. Experimentally compare the discrepancy inperformance of your 'S' while doing one task at a timewith doing two task simultaneously. 10

3. Find out experimentally the effect of set on your 'S'smemory. 10

GROUP - B

4. Record. 4

5. Viva-Voce. 6

V-20-0.5

I-UG-Chem(H)-II (Pract)



1. Identify the acid, radicals and basic radicals present inthe supplied mixture No. _______. You are given sixradicals. 17

2. Viva-Voce. 5

3. Record. 3

Scheme of Valuation

Texture, Solubility 2

Dry Test 3

Separation of Groups 7

Confirmatory Test 5

V-22-0.5

I-UG-Bot(H)-II (Pract)



1. Make temporary cytological preparation of the suppliedonion root tip 'A'. Find out at least two stages of celldivision. Draw neat labelled diagrams and identify withreasons. 4

2. Make temporary cytological preparation of the suppliedflower bud 'B'. Find out at least two stages of celldivision. Draw neat labelled diagrams and identify withreasons. 4

3. Make a qualitative test of the supplied biochemical 'C'.Identify the biochemical with reasons. 4

4. Draw labelled diagrams and identify with reasons theprepared slides/biochemicals with reasons – D, E, F,G, H (Time allowed 3 minutes each). 5

5. Submission of prepared slides. 2

6. Viva-Voce. 4

7. Class Record. 2

V-23-0.5

I-UG-Zool(H)-II (Pract)



1. Dissect and display any one of the following systemas per the instruction of the examiner and draw a neatlabelled diagram of your dissection. 10

a) Digestive system of Prawn or Pila

b) Nervous system of Prawn or Pila

c) Nervous system of Earthworm.

(Dissection- 6, Display- 2, Labelled diagram- 2)

2. Identify and Comment on the spots (I to IX). 1 × 9

(Six museum specimen and three microscopic slideswill be set by examiners as per syllabus)

3. Practical record (Regularly signed by teacher) andsessional preparation. 3

4. Viva-Voce. 3

V-24-0.5

V-UG-Edn(H)-XI (Pract)



1. Prepare a check list for identifying the behaviourdisorders of school children (10 items). 20

OR

Prepare a Rating scale to measure the punctuality/school attendance of children of secondary level.

2. Record Maintainance. 8

3. Viva-Voce. 12

V-1-0.5

III-UG-Edn(H)-VI (Pract)



1. Selecting a unit from the method, prepare five objectivetype (multiple choice) items of achievement test. 10

2. Record Maintainance. 4

3. Viva-Voce. 6

V-8-0.5

III-UG-Chem(H)-VI (Pract)



1. Identify the unknown organic compoundmarked _______. 18

2. Viva-Voce. 4

3. Record. 3

Scheme of Valuation

Element detection 04

Solubility, Copper Foil Test 01

Functional Group 05

MP/BP 02

Preparation of derivative 04

MP/BP of the derivative 02

V-11-0.5

III-UG-Psy(H)-VI (Pract)




GROUP - A

1. Write a suitable experiment, show the effect ofknowledge of result and find out the extent of constanterror. 10

2. Demonstrate experimentally the effect of Positivetransfer of taining' with the help of mirror tracingapparatus. 10

3. Experimentally find out the amount of saving for a listof paired associated. 10

GROUP - B

4. Record. 4

5. Viva-Voce. 6

V-9-0.5

III-UG-Bot(EL)-VI (Pract)



1. Dissect draw and describe in technical terms thespecimen A and B. Underline the diagnostic characters.Draw floral diagram, write floral formula. Identify thegenus. 7 × 2

2. Write the correct scientific name of the Specimen'C' and 'D'. Describe the economical importantcharacters. 1½ × 2

3. Identify the specimen 'E' and 'F'. 1½ × 2

4. Viva-Voce. 3

5. Class Record. 2

V-17-0.5

I-UG-Bot(P/EL)-II (Pract)



1. Make a temporary preparation of two components ofthe supplied mixture 'A'. Draw labelled diagrams andidentify with reasons. 6

2. Make a temporary preparation of the suppliedspecimen 'B'. Draw labelled diagrams. Comment andidentify with reasons. 4

3. Make a temporary preparation of the suppliedspecimen 'C'. Draw neat labelled diagram. Commentand identify with reasons. 5

4. Draw labelled diagrams and identify with reasons onthe prepared slides/materials D, E, F, G. 4(Time allowed 3 minutes each)

5. Viva-Voce. 4

6. Class Record. 2

V-28-0.5

I-UG-Zool(P/EL)-II (Pract)



1. Dissect and display the system of the givennon-chordate. Draw a labelled diagram of it. 10(The examiners may give any one of the systemsprescribed in the syllabus)

Labelled diagram 2Dissection 6Display 2 Total 10

2. Spotting : 9

Identify the given spots with reasons and givecomments on each.(9 spots are to be given out of which 6 shall be frommuseum specimens and 3 shall be from permanentslides prescribed in the syllabus)

3. Practical records and sessional preparations. 3

4. Viva-Voce. (based on theory paper-I) 3

V-29-0.5

I-UG-Phy(H)-II (Pract)




GROUP - A (15 Marks)

1. Determine acceleration due to gravity by a barpendulum.

2. Determine Young's modulus of the material of givenwire by Searle's method.

3. Determine the rigidity modulus of the material of givenwire by static method.

4. Determine the surface tension of water by capillaryrise method.

5. Verify the laws of vibration of strings by Sonometer.

6. Determine the refractive index of material of givenprism by direct method using spectrometer.

V-21 [Turn Over

7. Show the variation of magnetic fields along the axisof a current carrying circular coil.

8. Determine the reduction factor of a tangentgalvanometer using a copper voltameter.

9. Show the input number is a prime number or not usingC++ language.

GROUP - B

10. Record. 4

11. Viva-Voce. 6

V-21-0.5

[ 2 ]

I-UG-C.Sc(H)-II (Pract)



DOS

1. Write the DOS command for the following : 3

a) Display all the contents of C: drive in ascendingorder of primary name.

b) Create a directory of your name. Create a file underthe newly created directory. Hide the file.

c) Remove the directory.

Windows

2. Write down the steps to do the following in WindowsOperating System : 3

a) Defragment the disk.

b) Create a folder inside D: drive.

c) Move the folder from D: drive to C: drive.

d) Create a file in notepad and save it inside the folder.

V-25 [Turn Over

e) Remove the folder.

f) Show the capacity of Recycle Bin.

MS-Word

3. Create a data file containing the addresses of top 5Universities. Create a letter for these Universitiesseeking for admission into higher level courses. Usethe mailmerge features of MS-Word to createadmission request letter for each of the University. 3

MS-Excel

4. a) Create the following worksheet and save it asEmployee. 3

EMPLOYEE DATABASE FOR ABC LTD.

SL. NO. NAME DEPT. BASIC HRA P.F. NET GRADE1 RAJ ACTS 145002 JYOTI EDP 11500

3 RAM ACTS 12000

4 MAC ACTS 8000

5 PKJ EDP 20006 MONA EDP 18000

TOTAL

b) Calculate HRA = 40% of Basic, P.F. = 10% ofBasic, Net = Basic + HRA – P.F.

c) Calculate Totals for each column

d) Sort the list in alphabetic order by name

e) Calculate Departmentwise Subtotals.

f) Find out Grade depending upon the conditions i.e.if basic is greater than 10000 then grade is Aotherwise grade is B.

MS-Power Point

5. Create five slides, each with different layout about thefeatures and characteristics of distance education. Makea self running presentation of thse slides. 3

6. Record. 5

7. Viva-Voce. 5

V-25-0.5

[ 3 ][ 2 ]

I-PG-Math-V (Pract)


The figures in the right-hand margin indicate marksAnswer one question from each unit of

Group-A to be selected by lot.Group-B is compulsory

GROUP - A

Unit - 1 7.5 Marks

1. Write a 'C' program to enter three numbers and displaythe greatest one.

2. Write a 'C' program to print the factorial value of anumber entered by user recursively.

3. Write a program to convert a decimal number to binarynumber.

4. Write a program to multiply two square matrix.

Unit - 2 7.5 Marks

1. Write a program to sort an integer array of 10 elementsin ascending order.

V-31 [Turn Over

2. Write a program to enter your name and print it inreverse case.

3. Write a program to enter a string and check it forpalindrom or not.

4. Write a program to display fibonacci series upto n(entered by user).

Unit - 3 7.5 Marks

1. Write a program to enter two number and swap it usingpointers.

2. Write a program to accept record of an employee usingstructure having name, designation and salary asmembers and display them.

3. Write a program to enter a number and check whetherit is an amstrong number or not.

4. Write a 'C' program to check whether a number is aKrishnamurthy number or not. A Krishnamurthynumber is one whose sum of factorial of digits equalsthe number.

Unit - 4 7.5 Marks

Graphics

1. Write a program in 'C' to draw a line.

2. Write a program in 'C' to draw a circle.

3. Write a program in 'C' to draw an ellipse.

GROUP - B

1. Record. 10

2. Viva-Voce. 10

V-31-0.5

[ 3 ][ 2 ]

I-PG-Phy-V (Pract)


The figures in the right-hand margin indicate marksAnswer one question from Group-A


Group - A

1. Determine em of electron by Magnetron valve. 30

2. Determine the value of Stefan's constant. 30

3. Determine em of electron by Braun tube. 30

4. Determine the value of Planck's constant by aphoto cell. 30

5. Determine em of electron by helical method. 30

Group - B

6. Record. 10

7. Viva-Voce. 10

V-33-0.3

I-PG-Phy-IV (Pract)




Group - A

1. Determine the wavelength of sodium light byMichelson's Interferometer. 30

2. Determine the thickness of airfilm by Fabry PerotInterferometer. 30

3. Verify Brewster's Law. 30

4. Determine Rydberg constant by spectrometer. 30

5. Determine wavelength of given laser source using agrating. 30

Group - B

6. Record. 10

7. Viva-Voce. 10

V-32-0.3

III-PG-Phy-XV (Pract)




Group - A (30 Marks)

1. Draw the Plateau characteristics of G.M. counter andfind out the operating voltage and slope of thecharacteristics curve of G.M. tube.

2. Determine the absorption coefficient of Alluminiumby G.M. Counter.

3. Determine the Hall coefficient of the given specimensemiconductor.

4. Calculate the observed frequency from dispersionrelation of a monoatomic lattice.

5. Study the variation of potential with temperature anddetermine the bandgap with four probe apparatus.

6. Determine the velocity of ultrasonic wave in givenliquid at room temperature.

Group - B

7. Viva-Voce. 10

8. Record. 10

V-30-0.3

V-30-0.3 [Turn Over

[ 2 ]

I-UG-Chem(P/EL)-II (Pract)



1. Identify the acid, radicals and basic radicals present inthe supplied mixture No. _______. You are given fourradicals. 18

2. Viva-Voce. 4

3. Record. 3

Scheme of Valuation

Texture and Solubility 2

Dry Test 4

Group separation 8

Confirmatory Test 4

V-27-2

III-UG-Chem(EL)-VI (Pract)



1. Identify the functional group present in the organiccompound marked _______ and ascertain thecompound by determination of its M.P./B.P. 18

2. Viva-Voce. 4

3. Record. 3

Scheme of Valuation

Solubility and Copper Foil Test 2

Element detection 5

Functional Group 7

M.P./B.P. 4

V-16-2

I-UG-Phy(P/EL)-II (Pract)




Group - A

1. Determine the weight of a given body by gaussmethod. 15

2. Determine acceleration due to gravity using barpendulum. 15

3. Determine Young's modulus of the material of a wireby Searle's method. 15

4. Determine the velocity of sound by resonance columnmethod. 15

5. Determine the refractive index of liquid using travellingmicroscope. 15

6. Determine the end correction of a meter bridge. 15

Group - B

7. Record. 4

8. Viva-Voce. 6

V-26-1.5

III-UG-Phy(El)-VI (Pract)




Group - A

1. Determine the rigidity modulus of the material of givenwire by static method. 15

2. Determine the coefficient of viscosity by Stoke'smethod. 15

3. Determine the focal length of concave mirror byKohlraush method. 15

4. Determine the horizontal component of earth'smagnetic field of a bar magnet. 15

5. Determine the mechanical equivalent of heat usingJoule's calorimeter. 15

6. Draw the static characteristics of a triode. 15

Group - B

7. Record. 04

8. Viva-Voce. 06

V-15-1.5

V-UG-Eng(H)-V



1. a) Answer the following, choosing the correctalternative given in brackets. 1 × 8

i) Who coined the term "stream ofconsciousness' ?(William James, Virginia Woolf, James Joyce)

ii) Who amongst the following is a new critic ?(Stanley Fish, John Crowe Ransom)

iii) James Joyce's 'Ulysses' was published in :(1923, 1922, 1924, 1952)

iv) Who amongst the following was the pioneerof the 'Oxford Movement' ?

(Robert Frost, John Henry Newman,Allen Tate)

v) Who amongst the following is associated with"Imagist Movement" ?(Louice Mcneice, Ezra Pound, G.M. Hopkins)

V-1 [Turn Over

b) I am not yet born, console me.I fear that the human race may

with tall walls wall me,With strong drugs dope me,

with wise lies lure me.

c) No ! I am not Prince Hamlet, nor was meant to be

Am an attendant lord, one that will doTo swell a progress, start a scene or two.

d) And indeed there will be timeFor the yellow smoke that slides along the street,Rubbing its back upon the window panes ;There will be time, there will be timeTo prepare to meet the faces that you meet.

V-1-0.5

[ 4 ]

vi) 'Sprung rhythm' is associated with :(Ted Huges, Sylvia Plath, G.M. Hopkins)

vii) Who amongst the following is a war poet ?(W.B. Yeats, W.H. Auden, Louice Mcneice)

viii) Who amongst the following is associated withthe "Theatre of the Absurd" ?

(W.B. Yeats, Samuel Becket, J.M. Synge)

b) Write short notes on any four : 4 × 4

i) Impressionism

ii) The Bloomsbury Group

iii) Existentialism

iv) Realism

v) Symbolist movement

vi) The Abbey Theatre

vii) Sprung rhythm.

2. Comment on the significance of the title of the poem"The Second Coming" bny W.B. Yeats. 12

OR

Elaborate on the mythical background of the poem"Leda and the Swan".

3. Discuss how Eliot presents a gloomy and depressingpicture of moden life in "The Love Song of J. AlfredPrufrock". 12

ORThrow light on Eliot's depiction of the predicamentsof a quintessential modern man in the poem "The LoveSong of J. Alfred Prufrock".

4. Discuss Camus' "The Outsider" as an existentialisttext. 12

ORComment on the significance of the title of AlbertCamus' 'The Outsider'.

5. Discuss 'The Glass Menagerie' as an expressionistplay. 12

OR

Do you consider 'The Glass Menagerie' as a 'memoryplay' ? Give reasons for your answer.

6. Annotate any two of the following : 4 × 2a) The darkness drops again but now I know

That twenty centuries of story sleepWere vexed to a nightmare by a rocking cradleAnd what rough beast, its hour come round at last,Slouches towards Bethelham to be born'

V-1 [Turn Over

[ 3 ][ 2 ]

V-UG-Eco(H)-V


The questions are of equal valueAnswer all questions

1. Explain the main objectives as incorporated in variousFive Year Plans in India.

OR

Expain the problem of population explosion in India.Analyse the causes and remedies of high rate of growthof population in India.

2. What are the factors responsible for poor performanceof land reforms programme in India ? Makesuggestions to improve it.

OR

Analyse the problems of rural credit in India. Suggestmeasures for removing limitations and problems ofagricultural credit in India.

3. Write what do you know about the various provisionsof FERA. How FEMA is an improvement over FERA ?

OR

V-2 [Turn Over

Analyse the performance of the public sectorenterprises in India. Explain the major changes in thepolicy towards public sector at present.

4. Analyse the composition and direction of India'sforeign trade at present.

OR

Explain the participation of MNCs through foreigncollaboration in India. Explain its favourable andharmful impacts.

5. Explain the relationship between infrastructure andeconomic development. Write a note on Public-PrivatePartnership in infrastructure projects in India.

OR

Analyse the trend of price rise in India. Discuss theanti-inflationary policies adopted in India.

V-2-1

[ 2 ]

V-UG-Pol.Sc(H)-V



1. Define and discuss the characteristics of DevelopmentAdministration today.

OR

What is comparative Public Administration ? Discussits nature.

2. What is organisation ? Distinguish between formal andinformal organisation.

OR

Illustrate the principles of Hierarchy in PublicAdministration.

3. Discuss various means followed by the Governmentfor performance appraisal of employees.

OR

What is corruption ? Discuss various causes ofcorruption.

V-4 [Turn Over

4. What is Budget ? Discuss objectives and principles ofbudget.

OR

Discuss the composition and functions of PublicAccounts committee.

5. Discuss the meaning and nature of Public Policy.

OR

Analyse the role of bureaucracy in public policymaking.

V-4-1

[ 2 ]

V-UG-Hist(H)-V



1. Discuss the circumstances leading to the annexationof Punjab by the British. Was it morally justified ?

OR

Write a critical note on the Doctrine of Lapse and itsapplications.

2. Give an account of the administrative reformsintroduced by Warren Hastings.

OR

Lord Ripon was a liberal statesman. In the light of thisstatement discuss the administration of Lord Ripon.

3. Analyse the political, socio-religious and immediatecauses of the Revolt of 1857.

OR

Evaluate Swami Dayanand's contribution to social andreligious reform movement.

V-3 [Turn Over

4. Why was the Indian National Congress founded ? Whatwere its aims and objectives ?

OR

Write a note on Civil Disobedience Movement.

5. Trace the rise and growth of Communalism in Indiaupto 1929.

OR

Discuss the role of Subash Chandra Bose and I.N.A.in the Freedom Movement of India.

V-3-0.5

[ 2 ]

V-UG-Phil(H)-V



1. Explain and examine Bacons method of Induction.

OR

How does Descartes classify all ideas ? What is hisview of innate ideas ? Explain.

2. State and explain what Spinoza means by attributes.

OR

Discuss the doctrine of monadology of Leibnitz.

3. Give an exposition of Locke's theory of knowledge.

OR

How does Locke refute the doctrine of innate ideas ?Discuss.

4. How Berkeley refutes the distinction between primaryand secondary qualities ? Explain.

OR

Is Hume a sceptic ? Give reasons for your answer.V-5 [Turn Over

5. How does Kant attempt to reconcile betweenempiricism and rationalism ? Discuss.

OR

"Space and Time are empirically real andtranscendentally ideal". Discuss after Kant.

V-5-0.5

[ 2 ]

V-UG-Sans(H)-V



1. JwénXoíM Zm_ _Zwî`mUm_² A{Ib_bàjmbZ_² BË wºo$… `WmW©Vm§n{R>Vm§e_dbåã` à{VnmX`V Ÿ& 10

AWdm

ewH$Zmgmoº${Xe búå`m… M[aÌ§ {MÌ`V Ÿ&

2. gàg“§ ì`m»`m H$m ©m : 5

H o $db#m {ZgJ ©V Ed A^mZ w^ oÚ_² AaËZmbm oH $ÀN> oÚ_²AàXm ofà^mnZo`_² V_mo `modZà^ An[aUm_mone_m o XméUmobú_r_X… Ÿ&

AWdm

_¥fm dmX{dnmH$ g§OmV _wIamoJ Bd A{V H¥$ÀN´>oU ObnpÝV Ÿ&gáÀN>XVad Bd ñdaOmo{dH$ma¡… nmíd©d{Îm©Zm§ {ea… eyb_² CËnmX`pÝV Ÿ&

3. ZmaXñ` AmH$memV² AdVaU§ dU© V Ÿ& 15

AWdm

{eewnmbñ` nyd©OÝ_d¥ÎmmÝV§ _mYmoº${Xem dU© V Ÿ&

V-8 [Turn Over

4. gàg“§ ì`m»`m H$m ©m : 5

ZdmZYmo@Y d¥hV… n`moYamZ²g_yT>H$ny©anamJnmÊSw>a_² Ÿ&

jU§ jUmopËjáJOoÝÐH¥${ÎmZmñ\w$Q>mon_§ y{V{gVoZ eå wZm Ÿ&

AWdm

nañ` __©m{dY_wÁ^Vm§ {ZO§{Û{O•VmXmof_{O÷Jm{_{^… Ÿ&

V{_Õ_mamY{`Vw§ gH$U©H¡$…Hw$b¡Z© oOo \${UZm§ wO“Vm Ÿ&

5. AYmo{b{IVofw Ì`mUm§ CÎma§ Xo{h Ÿ: 3 × 5

H$) {dídZmW_Vo H$mì`hoVw_² AmbmoM`V Ÿ&

I) "J“m`m§ Kmof…' � B{V dmŠ o H$W§ ì`L²>`mW©… ì`Á`Vo ?

J) eãXeºo$… oX§ gmoXmhaU§ {Zén`V Ÿ&

K) eãXñ` AZoH$mW©Ëdo hoVw§ {Zén`V Ÿ&

L>) g§jonoU agñ` ñdê$n§ dU© V Ÿ&

6. {JU©ma-{ebmboIñ` gm{hpË`H$_yë § {Zén`V Ÿ& 10

AWdm

BbmhmdmX-ñVå^m{^boIñ` Eo{Vhm{gH$_hËd§ {d_¥eV &

7. gàg“§ EH$ñ` ì`m»`m H$aUr`m : 5

H$) gV²H$mì`-lr[damoYmZ-dwYJ{UV-JwUmkmhVmZod H¥$Ëdm {dÛ„moHo${dewÕ-ñ\w$Q>~hþH${dVm H$s{Îm©amÁ § wZ{º$ Ÿ&

I) MËdma hñVeVm{Z qdewXwÎmamÊ``VoZ EVmdÝË`d {dñVrU}Zn#mgá{V hñVmZdJmXoZ oX oZ {Z…g¥V gd©Vr _éYZÝdH$ën_{V ¥e§ XwX©eZ_mgrV² Ÿ&

8. H$) EVofw n#mmZm§ EH$nXoZ àH$me`V : 5 × 2

i) Jwamo… ^md…

ii) XeaWñ` AnË`_² (nw§)

iii) OZmZm§ g_wh…

iv) Jmo BX_²

v) gd©pñ_Z² ñWmZo

vi) nwam ^d

vii) lr… Añ` ApñV (ór) &

I) n#mmZm§ óràË``ñ` ê$nm{U {bIV : 1 × 5

_mVwb…, ídm, wdZ², gy ©…, g_«mQ²>, AmMm ©…, ewÐ… Ÿ&

V-8-0.6

[ 3 ][ 2 ]

V-UG-Hn(H)-V



1. {ZåZ{b{IV àíZm| Ho$ CÎma Xr{OE : 12 × 3

H$) "MÝÐJwá' ZmQ>H$ _| àgmX Or Zo Eo{Vhm{gH$ n[adoe _| ^maV Ho$AnZo wJ H$s amï>r` ^mdZmAm| H$mo A{^ì`º$ {H$`m h¡ Ÿ& �{ddoMZ H$s{OE Ÿ&

AWdm

MmUŠ` H$s Mm[a{ÌH$ {deofVmAm| na àH$me S>m{bE Ÿ&

I) EH$m§H$s-H$bm H$s Ñ{ï> go "gyIrS>mbr' AWdm "_hm^maV H$sEH$ gm±P' H$s g_rjm H$s{OE Ÿ&

J) a{O`m AWdm am_m H$s Mm[a{ÌH$ {deofVmAm| na àH$meS>m{bE Ÿ&

2. gàg§J ì`m»`m H$s{OE : 8 × 2

H$) {nVm J o, _mVm J`r, JwéXod Am o, H$ÝYo go H$ÝYm {^S>mH$aàmU XoZodmbm {Ma ghMa qghaU J`m Ÿ& Vmo ^r MÝÐJwá H$moahZm nS>oJm Am¡a dh ahoJm Ÿ&

AWdm

V-9 [Turn Over

_wPo bmo go nam yV JmÝYmaamO Amå^rH$ g_PZo H$s yb ZhmoZr Mm{hE; _¢ _JY H$m CÕma H$aZm MmhVm hÿ± Ÿ& naÝVw `dZbwQ>oam| H$s ghm`Vm go Zht Ÿ&

I) o Omo _hmOZ _oao IarXma ~ZH$a Am o h¢, BZgo Oam ny{N> o {H$Š`m bS>{H$`m| Ho$ {Xb Zht hmoVm ? Š`m CZH$mo MmoQ> Zht bJVr ?Š`m do ~o~g o‹S>-~H$[a ±m h¢, {OÝh| H$gmB© AÀN>r Vah XoI^mbH$a IarXVo h¢ ?

AWdm

hëH$s-gr Iam|M ^r, `{X Cg na VËH$mb XdmB© Z bJm XrOm`, ~‹T>H$a EH$ ~‹S>m Kmd ~Z OmVr h¡ Am¡a dhr Kmd Zmgya hmoOmVm h¡, {\$a bmI _ah_ bJmAmo, R>rH$ Zht hmoVm Ÿ&

3. {ZåZ{b{IV àíZm| _| go {H$Ýht Mma Ho$ CÎma Xr{OE : 5 × 4

H$) H$mZ}{b`m H$m¡Z h¡ ? CgH$m n[aM` Xr{OE Ÿ&

I) Amå^rH$ H$s H$mbr H$aVyVm| H$m CëboI H$s{OE Ÿ&

J) Mmé{_Ìm Ho$ M[aÌ H$s {deofVm ~VmBE Ÿ&

K) "gyIrS>mbr' H$m CÔoí` ñnï> H$s{OE Ÿ&

L>) Aï>dH«$ Ho$ Mohoao H$m dU©Z H$s{OE Ÿ&

M) "`h gS>H$ ~mobVr h¡' H$s H$WmdñVw H$m CëboI H$s{OE Ÿ&

4. {ZåZ àíZm| Ho$ A{V g§{já CÎma Xr{OE : 1 × 8

H$) ^maVoÝXw Ho$ ZmQ>H$m| H$s H$moB© EH$ {deofVm ~VmBE Ÿ&

I) OJXre MÝÐ _mWwa Ho$ {H$gr EH$ ZmQ>H$ H$m Zm_moëboI H$s{OE Ÿ&

J) ^maVoÝXw Ho$ {H$gr EH$ àhgZ H$m Zm_ ~VmBE Ÿ&

K) "^maV-XwX©em' {H$g {df` na AmYm[aV h¡ ?

L>) "d¡{XH$s qhgm qhgm Z ^d{V' {H$gH$s aMZm h¢ ?

M) "^moa H$m Vmam' {H$gH$s aMZm h¡ ?

N>) "gË` h[aíMÝÐ' ZmQ>H$ H$m à_wI CÔoí` Š`m h¡ ?

O) ^maVoÝXw Ho$ {H$gr EH$ AZy{XV ZmQ>H$ H$m Zm_ {b{IE Ÿ&

V-9-0.5

[ 3 ][ 2 ]

V-UG-Math(H)-V



GROUP - A( Real Analysis )

1. State and prove Merten's theorem for convergence ofproduct series. 8

OR

Test the conditional and absolute convergence of

1 2 111

b g b gn

n

nn n 8

2. Find the radius of convergence of the following powerseries whose nth term are given below. Also discussthe convergence problem on the circle of convergence

(i) n zn

n!2 (ii)

nn

zn

nb gb g1

4+4

OR

V-11 [Turn Over

8. i) Derive the tangential and normal components ofvelocity and acceleration of velocity andacceleration of a particle moving in a plane. 7

ii) A particle moves in a plane with constant speed.Prove that its acceleration is perpendicular to itsvelocity. 3

OR

i) A particle at rest at a height h above the groundmoves freely under gravity. Use the principleof energy to find its speed when it strikes theground. 5

ii) State and prove the principle of linearmomentum. 5

9. Find the greatest distance that a stone can be throwninside a horizontal tunnel 10 ft height with a velocityof projection of 80 ft sec–1. Find also the correspondingtime of flight. 10

OR

Find the trajectory of the projectile if the resistance isvarying directly as the velocity. 10

V-11-0.7

[ 4 ]

Show that for | |x 1

sin ....

13 5 71

2 31 32 4 5

1 3 52 4 6 7x x x x x 8

3. Show that f(x) = sin x2 is continuous and bounded onR but not uniformly continuous. 8

OR

Let f R [a, b]. Then |f | R [a, b] and

f x dx f x dxa

b

a

b

b g b gz z | | . Prove this. 8

4. Find the Fourier series of the function given by

f(x) = x2, 0 x

= –x2 – x 0. 8

OR

If f is bounded and integrable on [–, ] and if an, bn

are its fourier co-efficients, then prove that a bn nn

2 2

1

d iconverges. 8

5. Show that x x dxm n z 1 1

0

11b g exists if and only if m, n

are both positive integers. 8

OR

Test the convergence of the improper integral

e dtt

z 2

8

GROUP - B( Mechanics )

6. State and prove theorem of pappus in order to calculatethe mass centres of certain surface areas and volumes.Give examples to validate the theorem. 10

OR

Define potential energy. Find the potential energy of aparticle attracted towards a fixed point by a force of

magnitude kr

rn

2, being the distance from the fixed

point and k, n any constants. 10

7. A ladder leans against a smooth wall, the lower endresting on a rough floor for which the co-efficient of

friction is 14 . Find the inclination of the ladder to the

vertical if it is just on the point of slipping. 10

OR

i) State and prove the principle of virtual work. 6

ii) Derive the equation of common caternary. 4

V-11 [Turn Over

[ 3 ][ 2 ]

V-UG-Edn(H)-IX



1. Discuss the problems in achieving the goals ofUniversalization of Primary Education.Suggest measures to overcome them in the presentcontext. 6+6

OR

Explain briefly about the need and importance of girlseducation. State the factors responsible for the spreadand development of girls education. Discuss brieflyhow these problems can resolved. 4+4+4

2. What do you mean by general and vocationaleducation ? Compare and contrast the aimsand objectives between general and vocationaleducation. Briefly state the importance of generaleducation. 4+6+2

OR

Explain briefly the salient features of National Policyon Secondary Education. State their importance. 6+6

V-12 [Turn Over

3. What is NAAC ? Discuss its importance in ensuringquality in Higher Education. 4+8

OR

What are the important features of the recommendationsof National Policy of Education on Higher Education,Discuss. 12

4. What do you mean by family life and sex education.State how family life and sex education supplementthe aims and objectives of population education. 6+6

OR

What do you mean by value oriented education ? Whatis the need and importance of value orientededucation ? How teacher can orient value educationin school. 4+4+4

5. What is Commission Process ? Discuss the importanceof different mass-communication used in the field ofhigher education. 4+8

OR

What are different programmes conducted by UGC forhigher education. Out of them discuss any oneprogramme in detail. 4+8

V-12-0.5

[ 2 ]

V-UG-Soc(H)-V



1. Discuss the major steps in social research.

OR

What is scientific method ? Explain itscharacteristics.

2. Define hypothesis and discuss its types.

OR

Examine the role of hypothesis in social research.

3. Define sampling and discuss its types.

OR

Discuss the role of sampling in social research.

4. Examine the importance of observation in socialresearch.

V-6 [Turn Over

OR

Define case study and discuss its limitations in socialresearch.

5. Discuss the relevance of Mean, Median and Mode insocial research.

OR

What are the major considerations in writing a goodreport.

V-6-0.5

[ 2 ]

V-UG-ODI(H)-V(Reg/Back)



1. `ÿ¾ö¿æSê†ÿçLÿæSëÝçLÿÀÿ µÿæÌæ†ÿæˆÿçLÿ þíàÿ¿ ÷†ÿç æ’ÿœÿ LÿÀÿ >A$¯ÿæ

fSŸæ$ ’ÿæÓZÿ µÿæS¯ÿ†ÿÀëÿ HÝçAæ µÿæÌæÀÿ ÓÀíÿ¨ ’ÿÉöæA >

2. HÝçAæ µÿæÌæ{Àÿ BóÀÿæfê µÿæÌæÀÿ ÷µÿæ¯ÿ Ó’õÿÎæ;ÿ Aæ{àÿæ`ÿœÿæ LÿÀÿ >A$¯ÿæ

HÝçAæ µÿæÌæ D¨Àÿ ¾æ¯ÿœÿçLÿ µÿæÌæÀÿ ÷µÿæ¯ÿ œÿçÀíÿ¨~ LÿÀÿ >

3. µÿæÌæ{Àÿ A$ö ¨Àÿç ÿˆÿöœÿÀÿ ¨•†ÿç Óó¨Lÿö{Àÿ Aæ{àÿæLÿ¨æ†ÿ LÿÀÿ >A$¯ÿæ

™œÿç ¨Àÿç ÿˆÿöœÿÀÿ ¯ÿçµÿçŸ ÓÀíÿ¨ ’ÿÉöæA >

4. Lõÿ’ÿ;ÿ H †ÿ•ç†ÿ þš{Àÿ ¨æ$öLÿ¿ ’ÿÉöæB ÷{†ÿ¿LÿÀëÿ ¨æosç {àÿQæFôD’ÿæÜÿÀÿ~ ’ÿçA >

A$¯ÿæ"Ì†ÿ´ ÿç™#' LÿæÜÿæLëÿ LÿÜÿ;ÿç D’ÿæÜÿÀÿ~ ÓÜÿ ¯ëÿlæB ’ÿçA >

V-7-0.6

V-UG-Psy(H)-IX



1. What is life span development ? Discuss differentapplication and periods of development with researchevidence.

OR

Show your acquaintance with Piaget's cognitivedevelopment theory.

2. Analyse cross-sectional and longitudinal approach withmerits and demerits.

OR

Describe how and how much heredity and environmentare related with individual difference.

3. Write about the stages of prenatal development.

OR

Describe different factors affecting languagedevelopment with research studies.

V-13 [Turn Over

4. What is Socialisation ? Discuss different factorsaffecting socialisation and personality development.

OR

What is self concept ? How self concept develops,analyse.

5. Briefly describe the physical and social developmentof adolescence.

OR

Write about the gender development through the lifespan.

V-13-0.6

[ 2 ]

V-UG-Phy(H)-IX



1. a) Solve the Laplace's equation in spherical polarco-ordinates for the electrostatic problem havingazimuthal symmetry. 6

b) A long cylinder carries a charge density that isproportional to the distance from the axis.Determine the electric field inside the cylinderusing Gauss's law in electrostatics. 6

ORa) Show that for an arbitrary number of isolated

charges qi (i = 1, 2, 3 .... N) the energy of interaction'U' is given by

U qi ii

N

1

2 1 ,

where i is the potential of the field produced byall charges except qi. 6

b) Find the electric field a distance Z above the centreof a circular loop of radius R which carries auniform line charge density using Coulomb'slaw. 6

V-14 [Turn Over

5. a) A series RC circuit is excited by a source ofconstant voltage. Discuss the growth of charge onthe capacitor and find the expression for thecurrent in the circuit during charging andhence the voltage across the capacitor.Show the variation of the charge with time by agraph. 5+3+1

b) A capacitor charged by a D.C. source through aresistance of 2 M takes 0.5 sec to charge to 3/4of its final value. Find the capacitance of thecapacitor. 3

OR

a) Set up the emf equation in a series LRC circuitdriven by a sinusoidal voltage. Solve the equationto find the instantaneous current. How does theimpendance of the circuit behave at resonance ?Hence find the resonant frequency. 6+2+1

b) An ac supply of emf 50V and frequency 1 kHz isconnected across the inductance of 100 mH andresistance of 2 K in series. Find the voltage dropsacross the inductance and across the resistance.Is the scalar sum of them equal to 50 V ? If not,why ? 3

V-14-0.5

[ 4 ]

2. a) Obtain an expression for the local electric field ata point inside the dielectric. Hence obtainClaussius-Massotti equation. 9

b) Two parallel plates have equal and oppositecharges. When the space between themis evaluated the electric field intensity is3 × 105 volts/m and when the space is filledwith dielectric the electric intensity is1.0 × 105 volts/m. What is the induced chargedensity on the surface of the dielectric ? 3

ORA sphere of homogeneous linear dielectric material isplaced in an otherwise uniform electric field

E0. Find

the electric field inside and outside the sphere. Drawthe lines of displacement and the lines of force. 10+2

3. a) Define magnetic vector potential. Using theconcept of vector potential derive an expressionfor the magnetic field due to a distant currentcircuit. 2+7

b) Given the magnetic vector potential A a r 1

2 ,where a is a constnat vector. Find the magneticinduction. 3

ORa) State Faraday's law of electromagnetic induction

and express it in differential form. 4

b) Explain the difference between dead beat andballistic galvanometer. Give the theory of amoving coil ballistic galvanometer and deduce therelation q = kB for the charge flowing through it,where kB is the ballistic constant. 8

4. a) Deduce an expression for the induced diamagneticmoment in an electron when a diamagneticsubstance is subjected to an external magneticfield. Hence discuss the diamagnetic behaviourof the substance according Langevin's theory ofdiamagnetism. 6+3

b) the magnetic susceptibility of a medium is940 × 10–4. Calculate its absolute and relativepermeability. 3

ORa) Explain what you understand by terms Hysteresis

and Hysteresis loop. Show that the loss of energydue to hysteresis per unit volume of the materialper cycle of magnetisation is proportional to thearea enclosed by the B-H loop. 3+6

b) The volume of the core of a transformer is10–3 m3. If the loss of energy per unit volume percycle of hysteresis is 0.2 Jm–3, calculate the lossof energy per hour when it is fed with A.C. of50 Hz. 3

V-14 [Turn Over

[ 3 ][ 2 ]

V-UG-Chem(H)-IX



1. a) i) Derive Henderson's equation for calculatingpH. 6

ii) Calculate the pH of 0.1M potassium acetatesolution at 298K. (Ka = 1.8 × 10–5) 2

b) Aqueous solution of NH4Cl is acidic but that ofNaCl is neutral. Justify. 2

OR

a) i) Give an account of Debye-Huckel theory ofstrong electrolytes. 6

ii) Calculate pH of 0.01M acetic acid at 250C.(Ka = 1.8 × 10–5) 2

b) Explain the conductometric titration curve for thetitration of NaOH against CH3COOH. 2

2. a) i) Discuss the determination of the solubilityproduct of a sparingly soluble salt by e.m.f.measurement. 6

V-15 [Turn Over

6. a) Describe the application of phase rule tolead-silver system. 6

b) Discuss two applications of distribution law. 4

OR

a) Discuss the application of phase rule to the sulphursystem. 6

b) Discuss the conditions for the validity of thedistribution law. 4

V-15-0.5

[ 4 ]

ii) Calculate the single electrode potential forcopper metal in contact with 0.15M Cu+2 saltsolution. E0 for copper is 0.34V. 2

b) Write two methods of combating corrosion. 2

OR

a) Derive an expression for the e.m.f. of aconcentration cell with transference. 7

b) Derive the relationship between entropychange of a cell-reaction and the e.m.f. of areversible cell. 3

3. a) What is linear combination of atomic orbitals(LCAO) ? Apply it to H2

+ ion to calculate itsenergy. 7

b) Find out whether the function cos ax is an eigenfunction of (i) d/dx and (ii) d2/dx2. What is thecorresponding eigen value if any ? 3

OR

a) Derive expression for the eigen function of aparticle in one dimensional box. 7

b) Explain the concept of degeneracy. 3

4. a) State the selection rules for pure rotational Ramanspectrum of a diatomic molecule and discuss thespectrum in detail. 7

b) What is force constant ? How is force constant ofa molecule determined ? 3

OR

a) What do you understand by anharmonicvibrations ? Write the general equationfor vibrational energy of an anharmonicoscillator. 7

b) How many normal vibrational modes are possiblefor (i) Sulphurdioxide and (ii) Carbon dioxidemolecules ? 3

5. a) State and explain Lambert-Beer law forlight absorption. What are the limitations ofBeer's law. 6+2

b) The quantum yield of hydrogen iodide by the U.V.light is 2. Explain. 2

OR

a) Derive an expression for Langmuir unimolecularadsorption isotherm and what are itslimitations. 8

b) What are the effects of temperature and pressureon chemisorption. 2

V-15 [Turn Over

[ 3 ][ 2 ]

V-UG-Bot(H)-IX




1. Discuss various theories to explain the mechanism ofascent of sap in plants.

OR

Write notes on any two :

a) Imbibition

b) Water Potential

c) Guttation.

2. Describe the mechanism of Calvin cycle.

OR


a) Photosynthetic apparatus

b) Photorespiration

c) Blackman's law of limiting factors.

V-16 [Turn Over

3. What are enzymes ? Discuss the mechanism of enzymeaction.

ORWrite notes on any two :a) Fermentationb) Classification of enzymesc) Co-factors.

4. Distinguish between transcription and translation.Describe the various steps of protein synthesis.

ORWrite notes on any two :a) Nif-geneb) Vernalizationc) Mechanism of photoperiodism.

5. What are phytohormones ? Discuss the physiologicalrole of Auxin.

ORWrite notes on any two :a) Mechanism of senescenceb) Ethylenec) Growth curve.

V-16-0.6

[ 2 ]

V-UG-Zool(H)-IX




1. Explain the mechanism of hormone action.

OR


a) Adenohypophysis

b) Functions of Thyroid

c) Hormones of Pancreas.

2. Describe the structure and hormonal action of adrenalmedulla.

OR


a) Thymus

b) Pineal

c) Androgen.

V-17 [Turn Over

3. What is buffer ? Explain different buffer systemsworking in our body.

OR


a) Disaccharide

b) Biological importance of Protein

c) Steroids.

4. Explain Kreb's cycle. Add a note on is energetics.

OR


a) Enzyme nomenclature

b) -oxidation

c) Classification of enzymes.

5. Describe the mechanism of DNA replication.

OR


a) Genetic code

b) Types of RNA

c) Inducible operon.

V-17-0.5

[ 2 ]

V-UG-C.Sc(H)-IX



1. a) What is class ? Explain how does it exhibit datahiding property 4

b) Write a program to declare a class with privatedata numbers. Accept data through constructor anddisplay the data with a display ( ) function. 8

OR

a) What do you mean by flow control ? Discussdifferent flow control constructs available inC++. 6

b) Write a program to count the number of objectscreated out of a class using static data memberand static member function. 6

2. a) What is the significance of protected visibilitymode ? Explain how protected members of a classare different from that of private and publicmembers. 6

V-18 [Turn Over

a) Find a normalisation transformation N, whichuses the rectangle A (1, 1), B (5, 3), C (4, 5),and D (0, 3) as a window and NDC as a viewport. 8

b) State and explain the principle of Cohen-Sutherland Algorithm for line clipping in 2D. 4

V-18-0.5

[ 4 ]

b) Write a program to demonstrate the concept ofrethrowing an exception. 6

OR

a) Define the case of ambiguity. When it can befound ? How it can be avoided ? Discuss withproper examples. 8

b) Write a program demonstrating the concept ofconstructor overloading. 4

3. a) Draw a schematic diagram for formating modelof object oriented S/W development. 4

b) Write a program to write a text file. Read the textfrom end of the file to display the contents in thereverse order. 6

c) What is the purpose of using seekg ( ) andseekp ( ) in file programming. 2

OR

a) What is the difference between object orientedparadigm and procedure oriented paradigm forobject oriented system development. 4

b) Write a program to enter a text into a file. Againread that file to count and print the number ofwords in it. 6

c) What is the purpose of using substr ( ) and find ( )in string manipulation. 2

4. a) Distinguish between Raster and Random scan. 4b) Consider a line from (0, 0) to (6, 6) use the DDA

algorithm to rasterize. 4c) Scale a polygon with co-ordinates A (2, 5),

B (7, 10), C (10, 2) by 2 units in X-direction and2 units in Y-direction. 4

ORa) A point (4, 3) is rotated counter clockwise by an

angle of 450. Find the rotation matrix and theresultant point. 4

b) Explain and derive the Mid point circle drawingalgorithm in brief. 4

c) Name some out primitive functions. 4

5. a) Explain the concept of A-Buffer method inbrief. 4

b) Explain the scan-line method of polygonsurface. 4

c) Explain the concept of Backface detection methodin brief. 4

OR

V-18 [Turn Over

[ 3 ][ 2 ]

III-PG-ODI-XI(Reg/Back)



1. "Àëÿ’ÿ÷ Óë™æœÿç™#' S÷¡ÿÀÿ Àÿ ÿœÿæ{ÉðÁÿê Óó¨Lÿö{Àÿ Aæ{àÿæ ÿœÿæ LÿÀÿ > 15A$¯ÿæ

"`ÿ†ëÿÀÿ ¯ÿç{œÿæ’ÿ'Àÿ ¨vÿç†ÿæóÉ A¯ÿàÿºœÿ{Àÿ ÷ê†ÿçÀÿ ÷LÿæÀÿ H ÓÀíÿ¨D’úÿWæsœÿ LÿÀÿ >

2. "µÿêþæµíÿßæô' D¨œÿ¿æÓ Aæ™æÀÿ{Àÿ µÿêþæÀÿ ÿÀÿç†ÿ÷ ÿç†ÿ÷~ LÿÀÿ > 15A$¯ÿæ

""œÿçþ§ ÿSö ÓþæfÀÿ ÿæÖ¯ÿ`ÿç†ÿ÷ "ÜÿÀÿçfœÿ' D¨œÿ¿æÓ{Àÿ ÷†ÿçüÿÁÿç†ÿ''- Aæ{àÿæ`ÿœÿæ LÿÀÿ >

3. Ó ÷Óèÿ ÓÀÿÁÿæ$ö {àÿQ :Lÿ) F Ó¯ëÿZÿÀÿç Éë• ÿç ÿæÀÿ LÿÀÿç œÿçLÿç†ÿç{Àÿ LÿæB †ëÿÁÿç{àÿ fæ~çþæ,

Aæfç àÿWë SëÀëÿ ¨Àÿçþæ~çþæ > 5A$¯ÿæ

÷ê†ÿç ’ëÿBAæÝë {Üÿ{àÿ Óçœÿæ Óë¢ÿÀÿ, þëô ¾æÜÿæ {’ÿ¯ÿç †ëÿ{» †ÿæÜÿæ¨æœÿ LÿÀÿç ÿ >

Q) ¯ÿæ¨æ þæ'Zëÿ ÓÁÿQ Óë¢ÿÀÿ {µÿƒçAæsç {¾¨Àÿç, Üÿæ†ÿ{SæÝ œÿ$æBQƒçAæsçF {ÓÜÿç Àÿç > 5

A$¯ÿæ{LÿDô ÷æ`ÿêœÿ ¨Àÿó¨ÀÿæÀÿ Aæ’ÿçþ þœÿÀÿ ÷ õÿˆÿç Aæ†ëÿÀÿ {ÜÿæBxÿæLÿç Lÿ{Üÿ, {Ó ¨æÀÿç ÿ œÿæÜÿ], ¨æÀÿç ÿ œÿæÜÿ] > {¾{†ÿ ¾æÜÿæ{ÜÿD {Ó þ~çÌ >

4. {¾ {Lÿò~Óç ¨æosçÀÿ Óóäç© DˆÿÀÿ ’ÿçA : 2 × 5

Lÿ) ""{Üÿ Aºëfæäç ! œÿ¯ÿ†ÿœëÿ LÿÀÿç LÿæÜëÿô F{¯ÿ Aœÿèÿ ÓõÎç FµÿçAæBàëÿô'' - F Lÿ$æ LÿçF LÿæÜÿæLëÿ LÿÜÿçd;ÿç ?

Q) þæßæ Lÿœÿ¿æLëÿ {’ÿQ# LÿçF Aœÿèÿ™æÝç{Àÿ ¨Ýçàÿæ ?

S) Lÿêˆÿ}þƒœÿ Àÿæf¿Àÿ ÀÿæfæZÿ œÿæþ Lÿ'~ ?

W) {LÿDô SçÀÿç{Àÿ õÿ•fœÿ þçÁÿçàÿæ þæ{†ÿ÷ Lÿ¢ÿ ö Àÿç †ÿÀëÿ~ ÜëÿA;ÿç ?

Yÿ) `ÿçœÿæþæÁÿê LÿæÜÿæÀÿ lçA ?

`ÿ) µÿêþæÀÿ µÿæBÀÿ œÿæþ Lÿ'~ ?

d) {fþæÀÿ AæœëÿþæœÿçLÿ ¯ÿßÓ {Lÿ{†ÿ ?

f) "þ~çÌ FLÿ fæ†ÿç þçd > `ÿæÀÿçAæ{Ý Óµÿæ Óþç†ÿç àÿæSç ÀÿÜÿçdç{ÓÜÿç D{”É¿{Àÿ' - F Lÿ$æ LÿçF LÿæÜÿæLëÿ LÿÜÿçdç ?

V-50-0.5

[ 2 ]

V-50 [Turn Over

III-PG-Pol.Sc-XI (PT)



1. Write a critical estimate of Hobbes' concept ofsovereignty. 20

OR

Rousseau was a collectivist or an individualist ? Givereasons in support of your view.

2. Discuss Bentham's views on State, RepresentativeGovernment and Law. 20

OR

"J.S. Mill was a Reluctant Democrat". Explain.

3. Comment on any two of the following : 5 × 2

a) "Covenants without swords are but words and ofno strength to secure a man to all" – Hobbes.

V-51 [Turn Over

b) "the grass my horse has bit, the turf my servanthas cut and the ore I have digged in any placewhere I have a right to them in common withothers, become my property without theassignation of anybody" – Locke.

c) "Thinking animal is a depraved animal". Rousseau(as suggested by G.H. Sabine).

d) "Liberty consists in doing what one desires" –J.S. Mill.

V-51-0.5

[ 2 ]

III-PG-Phy-XI (AQM)



1. a) Consider an electron moving in a central forcefield with a speed v such that terms higher to(v2/c2) are negligible. Put the appropriate equationof motion and identify the Thomas term andthe Darwin term and give their physicalinterpretations. 15

b) Find the energy of the states u P e andsipx

d i

v P esipx

d i for the Dirac particle. 5

OR

a) Show that 5

i) 2

ii)

55 4

b) Give the Non-relativistic limit of the K.G.equation. 5

c) Find the co-variant form of the Dirac equation. 5

V-52 [Turn Over

b) Prove that

H A x i A, b g 0

where H is the Hamiltonian of an electromagneticfield. 5

V-52-0.3

[ 4 ]

d) Investigate the transformation property of thebilinear expression 5 . 5

2. a) Find the velocity operator for a free Dirac particlein Heisenberg picture and hence show that theeigen values of j tb g are C for all t. Justifyyour result by the Heisenberg uncertaintyprinciple. 5

b) Using the solution of the free Dirac particle showthat

p u p u p p m cm cr r

rb g b g b g 0

01

2

2

p p p m c pm cr r

rb g b g b g 0

01

2

2

where p and pb g b g are energy projectionoperators. 5

OR

a) Prove that the helicity of the Dirac particle changessign under space inversion, but not under timereversal. 5

b) Show that 5s commutes with the operator p, andthe eigen values of this operator are 1. Find theeigen-projectors of the operator 5s. 5

3. a) Find the Euler-Lagrange equations for thefollowing Lagrangian densities. 8

i) 1

21

21

42 2 4d id i m

ii)

A A m A A Ad id i d i1

2 22 2

b) Write the Lagrangian densities for a free neutralscalar field and that of a Dirac field. Show thatthe densities are invariant under phasetransformations. Find the Noether's current andcharge. 6

c) Calculate H C P C Pr r, d i d i for a Dirac field.

Where H C P and C Pr r, d i d i respectively are theHamiltonian, creation and annihilationoperators. 6

OR

a) Write the photon field in terms of the polarizationvectors

Rd i and the creation and annihilationoperators a R and a R

, d i d i . Set up the equal time

commutation relations between the creation andannihilation operator. What completeness relationsthe polarization vectors satisfy ? Prove that

A t x A t y ig x y , , ,b g b g b g 3 15

V-52 [Turn Over

[ 3 ][ 2 ]

III-PG-Math-XI (FA)



1. Prove that every finite dimensional subspace Y of anormed space X is complete.

OR

Show that Rn and Cn are not compact.

2. Let T : D (T) Y be a linear operator, whereD(T) X and X, Y are normed spaces. Then showthat

i) T is continuous if and only if T is bounded.

ii) If T is continuous at a single point, it is continuous.

OR

Show that a finite dimensional vector space isalgebraically reflexive.

3. Define adjoint operator TX of the linear operatorT : X Y where X and Y are normed spaces. Showthat TX is linear and bounded and ||TX || = || T ||.

OR

V-53 [Turn Over

In a normed space X, show that X xnw if and

only if

i) the sequence (|| xn ||) is bounded.

ii) for every element f of a total subset M X',f(xn) f(x).

4. Let H be a Hilbert space. Show that

i) If H is separable, then every orthonormal set in His countable.

ii) If H contains an orthonormal sequence which istotal in H, then H is separable.

OR

Show that every bounded linear functional f on aHilbert space H can be represented in terms of the linearproduct

f(x) = x, z

where z depends on f, is uniquely determined by f andhas norm || z || = || f ||.

5. Let T B (X, X), where X is a Banach space. If|| T || < 1, then show that (1 – T)–1 exists as a boundedlinear operator on the whole space X.

OR

Let X be a complex Banach space, T B (X, X) and , . Tb g Then show that

i) The resolvent R of T satisfies the Hilbert relation

R R R R b g .

ii) R commutes with any S B (X, X) whichcommutes with T.

iii) R R R R .

V-53-0.5

[ 3 ][ 2 ]

III-PG-Com-XI (M.E)



1. Discuss two important theories relating to objective ofthe firm.

OR


a) Incremental principle

b) Opportunity cost principle

c) Discounting principle.

2. What do you mean by Demand Analysis ? Discuss thepurposes of demand analysis.

OR

Write notes on :

a) Individual demand function Vs. Market demandfunction

b) Price elasticity.

V-54 [Turn Over

3. Explain the important differences between economists'profit and accountants' profit.

OR

Write notes on :

a) Risk theory of profit

b) Innovation theory of profit.

V-54-1

[ 2 ]

V-UG-BBA(H)-V (POM)



1. Explain the concepts of production and operationmanagement. 16

OR

Explain the product life cycle and its development indifferent times.

2. Discuss about product planning and equipmentfinalisation. 16

OR

Discuss the objectives to benefits of plant layont.

3. What is demand forecasting ? Discuss itstechniques. 16

OR

Write short notes on :

a) Production Control

b) Dispatching and follow-up.

V-19 [Turn Over

4. Discuss the importance of work study in anenterprise. 16

OR

What do you mean by Inspection ? Discuss itsimportance in an enterprise.

5. Discuss the ABC analysis of material control. 16

OR

Write notes on : 6+5+5

a) EOQ

b) Minimum stock level

c) Maximum stock level.

V-19-1

[ 2 ]

III-PG-Pol.Sc-XII (IGP-I)



1. Discuss the ideological basis of the Constitution ofIndia. 20

OR

What is Regionalism ? Discuss the different forms inwhich Regionalism has been present in the IndianPolitical System.

2. Account for the decline of National Political Parties inIndia. 20

OR

Write an essay on Coalition Politics in India.

3. Write short notes on any one : 10

a) Electoral reforms in India

b) Unitary features of the Indian Federation

c) Features of the Indian Party system

d) Challenges to National Integration.

V-56-0.5

III-PG-ODI-XII(Reg/Back)



1. "Aþõ†ÿüÿÁÿ' AœëÿÓÀÿ~{Àÿ µÿˆõÿöÜÿÀÿçZÿ `ÿÀÿç†ÿ÷ `ÿç†ÿ÷~ LÿÀÿ > 15A$¯ÿæ

"LõÿÐæ{¯ÿ~ê{Àÿ Ó¤ÿ¿æ' D¨œÿ¿æÓ{Àÿ œÿçÜÿç†ÿ "†ÿçþçÀÿÓë' ÿÀÿç†ÿ÷Àÿ Lÿæ¾ö¿÷~æÁÿê ¯ÿç{ÉÈÌ~ LÿÀÿ >

2. ""{Ó§ÜÿÀÿ LÿÀëÿ~ ¨Àÿç~†ÿç "þæóÓÀÿ ¯ÿçÁÿæ¨' œÿæþLÿÀÿ~Lëÿ Óæ$öLÿLÿÀÿçdç'' - Aæ{àÿæ`ÿœÿæ LÿÀÿ > 15

A$¯ÿæ"xÿæLÿþëœÿúÓê' SÅÿ A¯ÿàÿºœÿ{Àÿ ÜÿÀÿçÓçóÜÿÀÿ üÿÁÿ¯ÿ†ÿê AæÉæÀÿ Lÿç¨Àÿç~†ÿç Wsçdç, D{àÿâQ LÿÀÿ >

3. {¾ {Lÿò~Óç ’ëÿBsçÀÿ ÓÀÿÁÿæ$ö {àÿQ : 5 × 2Lÿ) ÓæÜÿç†ÿ¿ µëÿàÿçàÿ †ÿ µëÿàÿçàÿ, fê¯ÿœÿÀÿ àÿä¿ Óó¨Lÿö{Àÿ þ{š

þ{š œÿçfLëÿ ÷É§ LÿÀÿç ÿæLëÿ {¾¨Àÿç µëÿàÿç œÿ ¾æA >Q) µÿæÀÿ†ÿ B†ÿçÜÿæÓÀÿ FÜÿç Àÿç {Lÿò~Óç ÿçÝºç†ÿ þëÜíÿˆÿö{Àÿ Ó»¯ÿ†ÿ…

DaÿæÀÿç†ÿ {ÜÿæB$#àÿæ FÜÿç {ÉÈæLÿ, FLÿ {þæÜÿS÷Ö fæ†ÿçÀÿ Dgê ÿœÿ¨æBô >

V-55 [Turn Over

S) `ÿæLÿçÀÿç Q¯ÿÀÿ AæÓç ÿæ ’ÿçœÿ Àÿæ†ÿç{Àÿ ¯ëÿÞæ Óçó{Üÿ œÿç{ÀÿæÁÿæ{Àÿ¯ÿÓç {|ÿÀÿ Lÿæ¢ÿç{àÿ >

W) þœëÿÌ¿ {¾ ¯ÿçÉ S÷æÓ LÿÀÿç ÿæLëÿ ÿÓçdç, FÜÿæÀÿ ¾ëNÿç Lÿ'~ œÿæ,{Ó Ó¯ëÿ fê¯ÿvÿæÀëÿ ¯ëÿ•çþæœÿ H ¯ÿç{¯ÿLÿ¯ÿæœúÿ >


Lÿ) "Aþõ†ÿüÿÁÿ' ¨æBô þ{œÿæf ’ÿæÓ {LÿDô ëÀÿÔÿæÀÿ ¨æB$#{àÿ ?

Q) µÿˆõÿöÜÿÀÿçZÿ ÷$þ Àÿæ~êZÿ œÿæþ Lÿ'~ ?

S) ¨†ÿæ¨Àëÿ’ÿ÷{’ÿ¯ÿ †ÿÀëÿ~ ÓŸ¿æÓêZëÿ {LÿDôvÿæ{Àÿ {’ÿQ#$#{àÿ ?

W) LõÿÐ{’ÿ¯ÿ Àÿæß {LÿDô Àÿæf¿Àÿ œÿÀÿ¨†ÿç $#{àÿ ?

Yÿ) ÓæœÿlçA ¯ÿçœÿç FLëÿsçAæ AæÓçdç LÿæÜÿ]Lÿç ?

`ÿ) { ÷†ÿ AæÜÿæÀÿ LÿçF {’ÿD$#{àÿ ?

d) ""FBsæLëÿ ¯ÿÓæÀëÿ œÿ †ÿÝç{àÿ AæD Bg†ÿ œÿæÜÿ]'' - FLÿ$æLÿçF LÿæÜÿæ D{”É¿{Àÿ LÿÜÿç$#{àÿ ?

f) ""þëô Àÿæ {þæ þæ'Lëÿ dæÝç †ëÿþLëÿ AæÉ÷ß LÿÀÿç ™Àÿç$#àÿç'' - FLÿ$æ LÿçF LÿæÜÿæLëÿ LÿÜÿçdç ?

V-55-0.5

[ 2 ]

III-PG-Math-XII (G.T.)


The figures in the right-hand margin indicate marksAnswer all questions selecting either {(a),(b)}

or {(c),(d)} from each questionThe symbols used have their usual meanings

1. a) Explain the following with suitable examples inconnection to graph thoery.

i) Self loop

ii) Finite and infinite graph

iii) Null graph

iv) Euler line and Universal line

v) Complete graph. 5

b) Show that the maximum number of edges in a

simple graph with n vertices is n n 12

b g . 5

OR

c) Define isomorphism between two graphs. Showthat any two simple connected graphs withn vertices, all of degree 2 are isomorphic. 5

V-58 [Turn Over

columns are arranged using the same order ofedges, then prove that every row of B is orthogonalto every row of A. 5

5. a) Prove that the chromatic number of a graph willnot exceed by more than one the maximum degreeof the vertices in a graph. 5

b) Find the chromatic polynomial and chromaticnumber for the graph K3,3. 5

OR

c) Prove that an n-vertex graph is a tree if and onlyif its chromatic polynomial. 5

Pnn b g b g 1 1

d) Prove that the vertices of every planar graph canbe properly coloured with five colours. 5

V-58-0.5

[ 4 ]

d) Define a connected graph. Prove that a simplegraph with n vertices and k components can haveatmost (n – k) (n – k + 1)\2 edges. 5

2. a) Define a tree. Prove that a graph is a tree if andonly if it is minimally connected. 5

b) Show that every circuit has an even number ofedges in common with any cutset. 5

OR

c) Define spanning tree. Prove that every connectedgraph has atleast one spanning tree. 5

d) If G1 and G2 are two f-isomorphic graphs thenshow that the rank of G1 equals the rank of G2 andnullity of G1 equals the nullity of G2. 5

3. a) Prove that a connected planar graph with n verticesand e-edges has e–n+2 regions. 5

b) Prove that a diagraph G is an Eulergraph if andonly if G is connected and balanced. 5

OR

c) Prove that a graph can be embedded in the surfaceof a sphere if and only if it can be embedded in aplane. 5

d) Prove that a graph has a dual if and only if it isplanar. 5

4. a) Explain the following with examples of each : 5

i) Incidence matrix

ii) Binary matrix

iii) Circuit matrix

iv) Cut-set matrix

v) Path matrix.

b) Draw the diagraph G corresponding to adjacencymatrix 5

A

L

N

MMMM

O

Q

PPPP

0 0 1 10 0 1 01 1 0 11 1 1 0

OR

c) Find the incidence matrix to represent the graphshown below : 5

d) If B and A represent the circuit matrix andincidence matrix of a self-loop free graph whose

V-58 [Turn Over

[ 3 ][ 2 ]

V-UG-Com(H)-VII (IT)



1. Explain the following terms :

a) Casual Income

b) Assessment Year

c) Gross Total Income

d) Tax Planning.

OR

Give eight examples of incomes which are totallyexempt from income tax.

2. Define the term perquisite and how are they treatedfor income tax purposes ?

OR

Mr. W owns two self-occupied houses in Ambala. Fromthe following information find out that which househe should choose as self-occupied ?

V-20 [Turn Over

Following are the particulars of income of Mr. Karanfor the year ending 31.3.2013.

Rs.a) Interest on Govt. Securities (Gross) 3,300b) Interest from Bank Deposits 3,500c) Rent value of House Property

(Municipal Taxes being Rs.750) 4,000d) Profits of retail cloth business 1,87,300e) 1/10th share in the AOP which has no

such member whose individual incomeexceeds Rs.2,00,00 10,000

f) Dividends from Co-operative societies 3,200g) Dividends from Indian Companies 2,700h) Interest on debentures of Coop.Society 300He is insured for Rs.10,000 and paid an insurancepremium of Rs.1,500.He donated Rs.2,000 to a school (recognised) in whichhis son is studying.Compute his total income and tax payable for theAssessment Year 2013-14.

5. What do you understand by Best JudgementAssessment. State the grounds for its cancellation.

OR

Discuss the power of ITO.

V-20-3.6

[ 4 ]

House A House BRs. Rs.

Standard Rent fixed underRent Control Act 36,000 36,000

Fair Rent 42,000 62,000

Municipal Valuation 24,000 44,000

Municipal Taxes (Paid) 1,200 1,200

Municipal Taxes (Due) 1,200 1,200

Ground Rent (Paid) 1,000 500

Date of completion of these houses was 31.1.2010.Mr. W. had taken a loan of Rs.2,50,000 @ 10% p.a.for construction of House A on 1.6.2008 and he repaidRs.2,00,000 on 1.10.2012.

3. What are the provisions relating to tax on capital gains(both short term and long term capital gains) ?

OR

Given Profit and Loss A/c. of M/s. Raj & Company.

Rs. Rs.General expenses 7,000 Gross Profit 1,40,000Five Insurance Premium 2,000 Bad debts, recoveredBad debts 1,000 but disallowed earlier 4,000

Salaries 65,000 Interest from Govt.Advertising (in cash) 22,250 securities 4,000

Proprietor's salary 12,500 Rent received fromInterest on capital 2,000 employees 12,000

Income tax 1,000 Interest from debtorsDepreciation 2,000 for delayed payment 6,000

Sales-tax (due) 5,000Advance income tax paid 1,000Donations 500Motor car expenses 750Municipal taxes ofquarters let to employees 5,000Net profit 39,000

1,66,000 1,66,000

General expenses include Rs.4,000 paid ascompensation to an old employee whose services wereterminated in the interest of the business and Rs.2,200by way of help to a poor student. Depreciationcalculated according to the rates comes to Rs.2,900.Sales tax was paid on 1.5.2013. Date of filing of returnis 31.7.2013. 50% of motor car expenses are forproprietor's personal use.

Compute business income.

4. Explain the provisions of Income Tax Act, 1961regarding carry forward and set-off of losses.

OR

V-20 [Turn Over

[ 3 ][ 2 ]

V-UG-Env.Bio-I (Arts)



1. What is Ecological Pyramid ? Describe different kindsof ecological pyramids.

OR

Write notes on any two of the following :

a) Food Web

b) Atmosphere

c) Energy Flow.

2. Describe different components and functions of Forestecosystem.

OR


a) Trophic Level

b) Complete Ecosystem

c) Kinds of Ecosystem.

V-21 [Turn Over

3. Describe Temperature as an ecological factor.

ORWrite notes on any two of the following :a) Major soil groupsb) Biological effect of Lightc) Water as an ecological factor

4. Give an account of causes, effect and remedies of waterpollution.

ORWrite notes on any two of the following :a) Carbon Cycleb) Ozone Layer depletionc) Photochemical Smug.

5. Write an essay on sources effects and management ofsolid wastes.

ORWrite notes on any two of the following :a) Man-made disastersb) Flood managementc) Standards of drinking water.

V-21-4.5

[ 2 ]

V-UG-Env.Bio-I (Arts)



1. What is Ecological Pyramid ? Describe different kindsof ecological pyramids.

OR


a) Food Web

b) Atmosphere

c) Energy Flow.

2. Describe different components and functions of Forestecosystem.

OR


a) Trophic Level

b) Complete Ecosystem

c) Kinds of Ecosystem.

V-21 [Turn Over

3. Describe Temperature as an ecological factor.OR


a) Major soil groupsb) Biological effect of Lightc) Water as an ecological factor

4. Give an account of causes, effect and remedies of waterpollution.

OR

Write notes on any two of the following :a) Carbon Cycleb) Ozone Layer depletionc) Photochemical Smug.

5. Write an essay on sources effects and management ofsolid wastes.

OR

Write notes on any two of the following :a) Man-made disastersb) Flood managementc) Standards of drinking water.

V-21-4.5

[ 2 ]

V-UG-Comm.Eng-I (Sc)



1. You want to apply for the post of a Junior Scientist.Prepare a resume to attach it to your application forthe post. 10

OR

Prepare a CV which you want to enclose with yourapplication for the post of a Company Executive of areputed firm.

2. Prepare a report, in about 200 words, on the increasingtrend in cyber crime. 15

OR

Write a report on the misuse of cell phones. Themaximum word limit is 200 words.

3. Write a paragraph on either one of the following : 10

a) Global Warming

b) Time is Money.

V-22 [Turn Over

4. Fill in the blanks with correct prepositions : 1 × 5

a) They prohibited me ______ borrowing a book.

b) He is an expert ______ inventing excuses.

c) Your brother has a passion ______ travelling.

d) Any deviation _______ rules will be viewedseriously.

e) Illiteracy is a serious impediment ______ theprogress of a nation.

5. Change voice of the following : 1 × 3

a) They refused him admission.

b) Shut all the doors.

c) Who broke the window ?

6. Give antonyms of the following : 1½ × 8

a) legitimate

b) interior

c) departure

d) wild

e) Bravery

f) ascend

g) prosperity

h) debtor.

7. Use the following in sentences both as noun andverb : 1 × 3

a) book

b) pen

c) man.

V-22-2.5

[ 3 ][ 2 ]

III-PG-Com-XII (BT)



1. The P/L A/c of a firm in which the partners A, B and Cshare profits and losses in the ratio of 5 : 4 : 1respectively discloses profit of Rs.80,525 for the yearending 31.03.2013.

Debits Rs. Credits Rs.Donation to NDF 11,000 Capital gain on sale of

Salary to Partners : scrap machinery 5,000

A Rs.15,000 Interest in debentures B Rs.19,000 after deduction of tax at

C Rs.22,000 56,000 source Rs.5000 20,000

Commission to A 6,000 Interest on Securities (Gross) 3,500

Office rent (paid to B) 12,000

Compute the total income of the firm for the assessmentyear 2013-14. The firm has submitted a certified copyof instrument of partnership along with return and itprovides for the payment of salary, commission toworking partners A, B and C as per above. 16 2

3

OR

V-59 [Turn Over

a) Write a brief note on the provisions of I.T. Actregarding carry forward and set-off of losses of aFirm. 8 2

3

b) State briefly the provisions relating to deductionu/s 80G of I.T. Act, 1961. 8

2. What do you mean by Tax Planning ? State itssignificance. Make a comparative study among TaxPlanning, Tax Avoidance and Tax Evasion. 4 2

3 +6+6

OR

State the provisions of law relating to Tax Planningwith reference to capital gains. 16 2

3

3. What is the procedure involved in the clearance ofExcisable goods from the factory ? 16 2

3

OR

Write short notes on any four : 4 16 × 4

i) CENVAT

ii) MODVAT

iii) Self-Assessment Procedure

iv) Taxable Services in India

v) Tax-Free Services.

V-59-1

[ 2 ]

V-UG-BBA(H)-VI (OB)



1. Define "Organisational Behaviour". Explain variousfeatures of Organisational Behaviour.

OR

What are the factors influencing individual behaviour ?How individual behaviour affects personality ?

2. What do you mean by perceptual process ? What arethe factors affecting perception ?

OR


a) Attitude and organisational behaviour.

b) Job satisfaction.

3. What is the essence of leadership to an organisation ?Explain two important leadership styles.

OR

V-24 [Turn Over


a) Significance of personality

b) Learning Theories.

4. What are the potential sources of stress ? What stepsshould be taken for stress management ?

OR

What factors influences resistance for change ? Explainthe methods necessary for overcoming resistance forchange.

5. What are the theories of group formation ? How typesof organization are formed on the basis of differenttheories ?

OR


a) Determinants of group behaviour

b) Group cohesiveness.

V-24-1

[ 2 ]

V-UG-Gen.St-I (Arts)



1. Answer any six of the following : 1 × 6i) Why does sky look blue ?

ii) Why is transformer used ?iii) Force is the product of pressure and _____.iv) Convert by calculation 1220F into degree Celcius.v) How is mass related to density ?vi) Mirage is the outcome of _____ phenomenon of

light.vii) Define velocity.

2. Answer any six of the following : 1 × 6i) A basic substance will have pH value ____.ii) German silver is a/an ____.

(element / mixture / alloy / compound)

iii) What is the difference between an element and acompound ?

iv) Define catalyst.

V-25 [Turn Over

iv) Who was the last Governor General of BritishIndia ?

v) Who is the founder of Din-i-lahi ?vi) During whose viceroyship Jalliwanawal Bagh

tragedy took place ?vii) When did Cripps Mission Come to India ?viii) In which year was the Indian National Congress

founded ?ix) Who introduced the doctrine of Lapse ?x) Who established 'Arya Samaj' ?xi) In which year the first Census in India took place ?

7. Answer any six of the following : 1 × 6

i) Dandi March was a part of ______ movementlaunched by Gandhiji.

ii) Who declared 'Swaraj is my birth right' ?iii) Who founded 'Indian National Congress' ?iv) Where did 'First Round Table Conference' take

place ?v) When did 'Chauri-Chaura' incidence take place ?vi) Who composed the National Song 'Bande

Mataram' ?vii) Who were Lal-Bal-Pal ?

V-25-4.5

[ 4 ]

v) Which gas is responsible for ripening of fruits ?vi) PVC stands for ___________.vii) Brass is an alloy of _______ and _______.


i) What do you mean by Pandemic diseases ?ii) Who had discovered small pox vaccine ?iii) AIDS stands for _____________.iv) What is meant by genetics ?v) What causes birds flue ?vi) If uric acid in blood cell is high, then ______

disease is caused.vii) What is stomata ?


i) In which layer of the atmosphere is ozone found ?ii) What is the full form of PSLV ?iii) Which satellite is the first member of our solar

system to have been visited by man ?iv) Name one satellite launching centre in India.v) The nearest star to earth (other than Sun) is ____.

(Ceres / Sirius / none of these)vi) Which planet in the solar system has the largest

number of natural satellite ?vii) Who was Aryabhatta ?

5. Answer any ten of the following : 1 × 10

i) In which year was the DRDO formed ?ii) Who was the first Chairman of Atomic Energy

Commission of India ?iii) What is Bhaskar-I ?iv) Which is the first atomic power station in India ?v) INSAT stands for _____.vi) Where is Thumba Equatorial Rocket Launching

station located ?vii) What is the full form of NABARD ?viii) Name the place where Indian Agricultural

Research Institute is situated.ix) Who was the first man to go into space ?x) Who was the first Indian to land in space ?xi) CSIR stands for _______.

6. Answer any ten of the following : 1 × 10

i) Who led the East Indian Company's forces against'Siraj-ud-Dala's army in 1757 ?

ii) Who was the first Indian to be selected to BritishParliament ?

iii) At which place the first private sector steel plantin India was established ?

V-25 [Turn Over

[ 3 ][ 2 ]

V-UG-Gen.St-I (Com)



1. Answer any six of the following : 1 × 6i) Which property of the wave remains unchanged,

when a wave goes from one medium to another ?ii) The speed of sound is maximum in _____.iii) Which mirror is used as a rear view mirror in

automobiles ?

iv) A magnet usually has _____ poles.v) Like charges _____ each other.vi) Light is an _____ wave.vii) What do you mean by echo ?

2. Answer any six of the following : 1 × 6i) Which is the lightest gas ?ii) What is mass no.

iii) Sodium Chloride solution in water is homogeneousor hetrogeneous ?

iv) Brass is an alloy of Copper and _____.

V-27 [Turn Over

iii) Rani Laxmi Bai belongs to which state of India ?iv) Who introduced Dual Govt. in Bengal ?v) In which year Battle of Buxar was fought ?vi) Who introduced local self Govt. in India ?vii) During which Governor General the revolt of 1857

took place ?viii) Who was the first Viceroy of India ?ix) Who gave the slogan 'Delhi-Chalo' ?x) Who introduced Post and Telegraph in India ?xi) Who founded 'Araya Samaj' ?

7. Answer any six of the following : 1 × 6i) Who was the first President of Indian National

Congress ?ii) When Indian National Congress was formed ?iii) In which year Civil Disobedience Movement

started ?iv) When Gandhi-Irwin Pact was signed ?v) Who formed Home-Rule League at Madras ?vi) When Quit India Movement started ?vii) In which year Gandhi returned from South Africa

to India.

V-27-3.6

[ 4 ]

v) Nucleous of U-235 contain 92 protons. What isthe number of neutrons ?

vi) Trotcin is a polymer of _____.

vii) What is the full form of DNA ?

3. Answer any six of the following : 1 × 6i) Which organelle is known as the suicide bag of

the cell ?ii) What is the term given to the cell without a definite

nucleus ?iii) Name two drugs that cause halucination ?iv) Who is called father of Genetics ?v) Which Blood Group is considered as a universal

recipient ?vi) What is the cause of the disease Diabetes

mellitus ?vii) Give the full form of HIV ?

4. Answer any six of the following : 1 × 6i) What is the full form of ISRO ?ii) Where is the satelite launching station situated ?iii) Who is the first astronant to step in at Moon ?iv) Which is the nearest planet to earth ?v) What is the time period required by earth for one

revolution around the Sun ?

vi) What is the first satelite sent by India to space ?vii) Where is NASA ?viii) Which is the heaviest planet ?

5. Answer any ten of the following : 1 × 10i) Who is the Chairman of the Atomic Energy

Commission at present ?ii) What is the full form of CRRI ?iii) Atomic power plant at Kalpakam is situated in

which state of India ?iv) Which PM of India gave slogan of Jai Vigyan ?v) Who is the first Indian lady to go to space ?vi) What is the full form of CISF ?vii) Who is the first Indian to go to space ?viii) What is Aryabhatta ?ix) What is the full form of ICAR ?x) DRDO stands for __________.xi) Write the full form of BARC.

6. Answer any ten of the following : 1 × 10i) Which Governor General introduced English in

India ?ii) Which Indian helped William Bentinck for the

abolition of Sati in India ?

V-27 [Turn Over

[ 3 ][ 2 ]

V-UG-BBA(H)-VII (QT)



1. What is linear programming ? Explain the method offormulating a linear programming problem with anexample.

OR

Solve the following LPP by the simplex method :

Minimise z = 2x1 + 8x2

subject to 5x1 + 10x2 = 150

x1 20

x2 14

and x1 0.

2. Explain the various steps involved in solving atransportation problem by applying the North-WestCorner Rule.

OR

V-28 [Turn Over

The cash in flows are as follows :Year Year Year Year Year

1 2 3 4 5Rs. Rs. Rs. Rs. Rs.

Project X 5,000 10,000 10,000 3,000 2,000

Project Y 20,000 10,000 5,000 3,000 2,000

5. Write explanatory note on :

i) Network diagram

ii) Dummy activity.

iii) Critical path

iv) Float.OR

Consider the network shown below. Determine thetotal, free and independent floats and identify thecritical path.

V-28-1

[ 4 ]

A company has a term of four salesmen and there arefour districts where the company wants to start itsbusiness. After taking into account the capabilities ofsalesmen and the nature of districts, the companyestimates that the profit per day in rupees for eachsalesman in each district is as below :

District

1 2 3 4

A 16 10 14 11

Salesman B 14 11 15 15

C 15 15 13 12

D 13 12 14 15

Find the assignment of salesmen to various districtswhich will yield maximum profit.

3. What costs are usually involved in context of inventorycontrol ? Explain fully.

OR

The following information is available from the recordsof a manufacturing company :

i) Set up cost Rs.80 per lot

ii) Annual demand 24000 units

iii) Lot size 8000 units

iv) Carrying cost 20%

v) Price of product per unit Rs.20.

Is the policy practised by the company with regard toinventory a good one ? If not, why ? Can you suggestsome more economical alternative plan to thiscompany ? If yes, explain it.

4. Give a comparative description of various methods ofranking investment proposals.

OR

From the following information, calculate the netpresent value of the two projects and suggest which ofthe two projects should be accepted assuming adiscount rate of 10%.

Project X Project Y

Initial investment Rs.20,000 Rs.30,000

Estimated life 5 years 5 years

Scrap value Rs.1,000 Rs.2,000

V-28 [Turn Over

[ 3 ][ 2 ]

V-UG-Env.Bio-I (Com)


The questions are of equal valueAnswer any four questions


1. What is ecosystem ? Discuss the structure and functionof various components of an ecosystem.

2. Describe Pond as an ecosystem.

3. Discuss the role of soil as an ecological factor.

4. Discuss the role of light as an ecological factor.

5. Write notes on any two of the following :

a) Nuclear Pollution

b) Green House Effect

c) Depletion of Ozone Layer.

6. Discuss the causes, effects and control measures of airpollution.

V-23 [Turn Over


a) Remedial meausres of water pollution

b) Cyclonic disaster management

c) Thermal pollution.

8. Define disaster management. Explain various floodmanagement measures adopted in India.

V-23-3.6

[ 2 ]

V-UG-Env.Bio-I (Com)




1. What is ecosystem ? Discuss the structure andfunction of various components of an ecosystem.

2. Describe Pond as an ecosystem.

3. Discuss the role of soil as an ecological factor.

4. Discuss the role of light as an ecological factor.


a) Nuclear Pollution

b) Green House Effect

c) Depletion of Ozone Layer.

6. Discuss the causes, effects and control measures ofair pollution.

V-23 [Turn Over


a) Remedial meausres of water pollution

b) Cyclonic disaster management

c) Thermal pollution.

8. Define disaster management. Explain various floodmanagement measures adopted in India.

V-23-3.6

[ 2 ]

V-UG-Env.Bio-I (Sc)




1. Give an account of the structure and function ofEcosystem.


a) Food web

b) Energy flow in ecosystem

c) Ecological Pyramid.

3. Give an account of the Forest ecosystem and Grassland ecosystem.

4. Discuss light as an ecological factor.

5. Describe the causes and effect of air pollution.


a) Ozone layer depletion

b) Green house effect

c) Nuclear winter.

V-26 [Turn Over

7. Discuss about the Bio-geo-chemical cycle.


a) Cyclone

b) Management of solid wastes

c) Standards of drinking water.

V-26-2.5

[ 2 ]

III-PG-Phy-XII (BSS)



1. a) Discuss with necessary theory, the bonding in anionic solid. Assuming a suitable form for potential,derive an expression for total lattice energy andBulk modulous of this crystal. 10

b) Define Madalung constant is an ionic solid andevaluate it for an infinite line of ions of alternatingcharges. 5

ORDerive an expression for the dispersion relationfor vibration of diatomic lattice. Graphically sketchw ~ k curve for this lattice. Calculate the value of 'w'at the Brileouin's Zone boundary for acoustic andoptic mode. Discuss the importance of forbiddenenergy gap. 7+2+5+1

2. a) Derive an expression for energy level and densityof state for an electron gas in one-dimension.Graphically show few allowed energy levels andwave functions. Show how it compares withdensity of state for an electron gas in threedimensions. 6+3+3

V-57 [Turn Over

b) Derive an expression for heat capacity ofelectron gas. 8

OR

Discuss with necessary theory, the Kronig-Pennymodel for the origin of bands in solid. Discuss theimporant conclusions you derive from this theory.Briefly discuss reduced zone scheme. 16+4

3. a) Distinguish between intrinsic and impuritysemiconductors. Derive an expression for intrinsiccarrier concentration in a semiconductor in termsof energy gap. Show with help of diagram theimpurity states and Fermilevel in a n-type andp-type semiconductor. 7+4

b) Write a brief note on high temperature superconductors. 4

OR

a) Distinguish between Giaver tunnelling andJosephson tunnelling. Discuss with necessarytheory AC Josephson effect. 2+8

b) Briefly explain the construction and working ofsuper conducting quantum interference devices(SQUIDS) and two of its practical uses. 4+1

V-57-0.3

[ 2 ]

V-UG-Eng(H)-VI



1. Answer any two of the following : 15 × 2

a) Explain in your own words Aristotle's concept ofplot in a tragedy.

b) What were the main points of Wordsworth'spreface to Lyrical Ballads ?

c) How does T.S. Eliot oppose the romantic theoryin his essay 'Tradition and Individual Talent' ?

d) Explain Derrida's views on the systematic formof structuralism.

2. Write an essay on any one of the following : 30

a) Literature and Life

b) Epic Poetry

c) Functions of Literary Criticism

d) Origin and Growth of English Essay.

V-29 [Turn Over

3. What is copy editing ? Show its importance in thepreparation of a text. 10

OR

Compose a paragraph within 75 words on a topic ofyour choice in which there are at least five differentkinds of errors. Then show the way in which thoseerrors are to be corrected as a part of editing beforeprinting.

4. Prepare a script for a five minute telecast on theproblem of sound pollution during festive days. 10

OR

Write a feature article on the devastation caused byPhailin in October 2013.

V-29-0.5

[ 2 ]

V-UG-Pol.Sc(H)-V (Spl.Back)



1. Discuss the Fundamental Rights enjoyed by the citizenof India.

ORExamine the procedure of Amendment of theConstitution of India.

2. Discuss the functions and role of the President of India.OR

Describe the composition and jurisdiction of theSupreme Court of India.

3. Examine the powers and functions of the Chief Minister.OR

Discuss the Legislative Relations between centre andthe state.

4. Examine the causes for the growth of Communalismin India.

ORDescribe the composition and functions of the ElectionCommission of India.

V-4(A)-0.1

V-UG-Pol.Sc(H)-V (Spl.Back)



1. Discuss the Fundamental Rights enjoyed by the citizenof India.

ORExamine the procedure of Amendment of theConstitution of India.

2. Discuss the functions and role of the President of India.OR

Describe the composition and jurisdiction of theSupreme Court of India.

3. Examine the powers and functions of the Chief Minister.OR

Discuss the Legislative Relations between centre andthe state.

4. Examine the causes for the growth of Communalismin India.

ORDescribe the composition and functions of the ElectionCommission of India.

V-4(A)-0.1

V-UG-Pol.Sc(H)-VI (Spl/Back)



1. "Raja Ramamohan Roy was a social reformer" –Discuss.

ORAnalyse the concept of Vedic Swaraya of DayanandaSaraswati.

2. Point out the Political techniques of GopalkrushnaGokhale.

OR"Bal Gangadhar Tilak was a revolutionary" Do youagree ? Give reasons.

3. Discuss Gandhiji's views on End-means relationship.OR

Elucidate Nehru's concept of Internationalism.

4. Examine the Political Contributions ofMadhusudan Das.

ORGopabandhu Das was a true nationalist. Discuss.

V-32(A)-0.1

V-UG-Pol.Sc(H)-VI (Spl/Back)



1. "Raja Ramamohan Roy was a social reformer" –Discuss.

ORAnalyse the concept of Vedic Swaraya of DayanandaSaraswati.

2. Point out the Political techniques of GopalkrushnaGokhale.

OR"Bal Gangadhar Tilak was a revolutionary" Do youagree ? Give reasons.

3. Discuss Gandhiji's views on End-means relationship.OR

Elucidate Nehru's concept of Internationalism.

4. Examine the Political Contributions ofMadhusudan Das.

ORGopabandhu Das was a true nationalist. Discuss.

V-32(A)-0.1

V-UG-Eco(H)-VI



1. Explain the modern approach to Public Finance. Is itsuperior to the classical approach ?

OR

"The fundamental principle underlying publicexpenditure and public revenue is that of maximumsocial advantage". Examine.

2. Peacock-Wiseman hypothesis is more convincing thanWagner's law. Do you agree ? Give reasons.

OR

Discuss the role of public expenditure in bringingeconomic stability and full employment in an economy.

3. Examine the concept of equity in taxation. "EqualMarginal Sacrifice principle is the ultimate principleof taxation". Elucidate.

OR

V-30 [Turn Over

Critically examine the concept of neutrality intaxation.

4. What is meant by incidence of a tax ? How is a taxshifted ? Incidence shifting in respect of Custom Dutiesand Income Tax.

ORWrite short notes on any two :

a) Features of Indian tax systemb) Central Excisec) Income Taxd) Wealth Tax.

5. "Internal public debt is of no consequence to thecommunity where as external public debt impoverishesthe community". Examine.

ORWrite short notes on any two :a) Unbalanced budgetb) Fiscal Deficit

c) Deficit Financingd) Federal Finance.

V-30-1

[ 2 ]

V-UG-Pol.Sc(H)-VI



1. Explain the major sources of ancient Indian Politicalideas.

OR

Discuss Kautilya's theory of statecraft.

2. How did Ram Mohan Roy apply the principles ofLiberalism to all aspects of his life and philosophy.

OR

Analyse Dayananda Saraswati's concept of VedicSwarajya.

3. State and explain the four different methods of socialreform discussed by Ranade.

OR

Discuss the political ideas and concept of stateenvisaged by Gokhale.

V-32 [Turn Over

4. Define Satyagraha. Analyse Gandhi's concept ofSatyagraha and its relevance.

OR

Discuss the political goals and techniques of SubhashChandra Bose.

5. Explain the role of Fakir Mohan in laying thefoundation and nurturing the idea of Odia Nationalism.

OR

Explain how Madhusudan Das brought harmonybetween Odia Nationalism and Indian Nationalism.

V-32-1

[ 2 ]

V-UG-Phil(H)-VI



1. God is revealed to human creatures as holy and loving.Discuss.

OR

Critically examine the Judaic-Christian concept of God.

2. Explain the ontological and moral arguments for theexistence of God.

OR

Explain the arguments against the existence of God.

3. Give a critical note on the Augustinian theodicy.

OR

"Faith is the state of being ultimately concerned".Explain.

4. State and explain the preliminary points ofeschatological verification.

OR

V-33 [Turn Over

The common core to the concepts of 'Existence', 'Fact'and 'Reality' is the idea of 'Making difference'.Comment on this statement in realation to the idea ofeschatological verification.

5. Discuss parapsychology as a claim for life afterdeath.

OR

Explain the Vedantic conception of Karma andreincarnation.

V-33-0.5

[ 2 ]

V-UG-Soc(H)-VI



1. Explain Comtes ideas on Positivism.

OR

Discuss Spencer's theory of Evolution.

2. Analyse Pareto's theory of Circulation Elites.

OR

Highlight on Residues and derivations.

3. Discuss Durkheim's theory of division of Labour.

OR

Examine Theory of suicide.

4. Explain Weber's ideas on social action.

OR

Critically examine Weber's theory of Religion.

V-34 [Turn Over

5. Examine Marx's concept of Alienation.

OR

Highlight on Dialectical materialism of Karl Marx.

V-34-0.5

[ 2 ]

V-UG-Sans(H)-VI



1. AYmo{b{IVofw Ì`mUm§ gyÌmUm§ ì`m»`m§ Hw$é : 3 × 5

H$) hbÝË`_²

I) nyd©Ìm{gÕ_²

J) oZ {d{YñVXÝVñ`

K) J{Vü

L>) gwn²{VLÝV§ nX_²

M) VnañVËH$mbñ` Ÿ&

2. gyÌÌ`§ ñnï>r Hw$é : 3 × 5

H$) {L>ƒ

I) AMü

J) AmÚÝVm¡ M{H$Vm¡

K) Vñ_m{XË wÎmañ`

L>) {_XMmoÝË`mËna…

M) AH¥$Vì whm… nm{UZr`m… Ÿ&

V-36 [Turn Over

3. gmoXmhaU§ gyÌÌ`mUm_² AWª ñnï>r Hw$é : 3 × 5

H$) n[a_mU_mÌo ÐmoUmo ~«r{h…

I) H$_©{U {ÛVr`m

J) hoVm¡

K) éÀ`Wm©Zm§ àr`_mU…

L>) oZm“{dH$ma…

M) AZwà{VJ¥Uü Ÿ&

4. n#mmZm§_wXmhaUmZm§ ggyÌ§ {d^qº$ {Zén`V : 5 × 3

H$) H$Q>o AmñVo

I) nmnmX² OwJwßgVo

J) _mVw… ñ_a{V

K) `doä`mo Jm§ dma`{V

L>) Xya§ J«m_ñ`

M) àmgmXmV² àojVo

N>) MmoamX² {d o{V

O) g{n©fmo kmZ_²

P) Ho$eofw M_at hpÝV

Äm) Z¥Um§ Z¥fw dm ~«m÷U… loð>… Ÿ&

5. gmoXmhaU§ MVwU©m§ N>ÝXm§ bjU§ àXo _² : 4 × 5

H$) BÝÐdO«m

I) dgÝV{VbH$m

J) {eI[aUr

K) _ÝXmH«$mÝVm

L>) Am ©m

M) d§eñW…

N>) _m{bZr Ÿ&

V-36-0.6

[ 3 ][ 2 ]

V-UG-ODI(H)-VI(Reg/Back)



1. ÷æ`ÿêœÿ S’ÿ¿ H ¨’ÿ¿Àÿ Óëþ™ëÀÿ Óþœÿß Wsçdç "Àëÿ’ÿ÷Óë™æœÿç™#'{Àÿ- FÜÿæÀÿ Ó†ÿ¿†ÿæ ÷†ÿç æ’ÿœÿ LÿÀÿ > 15

A$¯ÿæ"Àëÿ’ÿ÷Óë™æœÿç™#'Àëÿ {Éð ÿ™þöÀÿ ×ç†ÿç Óó¨Lÿö{Àÿ FLÿ AæLÿÁÿœÿ LÿÀÿ >

2. "µÿæS¯ÿ†ÿsëèÿê{Àÿ Ó¤ÿ¿æ'Àëÿ †ÿ‡æÁÿêœÿ ÓæþæfçLÿ †ÿ$æ ÓæóÔõÿ†ÿ çLÿWs~æÀÿ `ÿç†ÿ÷ D¨×æ¨œÿ LÿÀÿ > 15

A$¯ÿæFLÿ D‡õÎ Àÿþ¿Àÿ`ÿœÿæ µÿæ{¯ÿ "µÿæS¯ÿ†ÿsëèÿê{Àÿ Ó¤ÿ¿æ'Àÿ þíàÿ¿æßœÿLÿÀÿ >

3. ""’ÿæÀÿç’ÿ÷¿ {Sæ’ÿæ¯ÿÀÿêÉZÿ ÷†ÿçµÿæLëÿ þÈæœÿ LÿÀÿç æÀÿç œÿ>Üÿ] >'' ¯ÿç ÿæÀÿLÿÀÿ > 15

A$¯ÿæ"A•öÉ†ÿæ±ÿêÀÿ HÝ çÉæ H †ÿÜÿ ]{Àÿ {þæ ×æœÿ'Àëÿ fœÿ{Ó¯ÿLÿ{Sæ’ÿæ¯ÿÀÿêÉZÿÀÿ ¨Àÿç ÿß ÷’ÿæœÿ LÿÀÿ >

V-35 [Turn Over

4. {¯ÿðÐ¯ÿêß { ÷þÀÿ FLÿ DgÁÿ ’õÿÎæ;ÿ "Lÿç{ÉæÀÿ `ÿ¢ÿ÷æœÿ¢ÿ `ÿ í'-Aæ{àÿæ`ÿœÿæ LÿÀÿ > 15

A$¯ÿæ"Lÿç{ÉæÀÿ `ÿ¢ÿ÷æœÿ¢ÿ `ÿ í'Àëÿ àÿÁÿç†ÿæ `ÿÀÿç†ÿ ÷Àÿ D¨{¾æSç†ÿæ D¨{ÀÿAæ{àÿæLÿ¨æ†ÿ LÿÀÿ >

5. Lÿ) {¾ {Lÿò~Óç ’ëÿBsçÀÿ Óóäç© sçª~ê {àÿQ : 5 × 2i) µÿêþ{µÿæBZÿ Éíœÿ¿’ÿÉöœÿii) ÜÿçÝþæsçÀÿ Ó{¢ÿÉiii) Aþæ¯ÿæÓ¿æÀÿ `ÿ¢ÿ÷{Àÿ "LÿæDàÿ'iv) œÿs¯ÿÀÿ Óæþ;ÿÀÿæßZÿ Óþæ{àÿæ`ÿœÿæ µÿèÿê æ

Q) {¾ {Lÿò~Óç ’ëÿBsçÀÿ Óóäç© sçª~ê {àÿQ : 5 × 2i) þœÿ{¯ÿæ™ `ÿD†ÿçÉæÀÿ µÿ¯ÿçÌ¿ ¯ÿæ~êii) µÿêþæµíÿßæô{Àÿ Aæ’ÿç ÿæÓê fê¯ÿœÿiii) ¯ÿæfçÀÿæD†ÿ{Àÿ fæ†ÿêß {`ÿ†ÿœÿæiv) É÷êÀÿæ™æ{Àÿ "`ÿ¢ÿ÷þæÀÿ íÿÝç' ÷Óèÿ >

V-35-0.6

[ 2 ]

V-UG-Hn(H)-VI



1. {ZåZ{b{IV àíZm| Ho$ CÎma {dñVma go Xr{OE : 13 × 4

H$) qhXr ^mfm Ho$ ñdê$n H$mo ñnï> H$aVo hþE CgH$s {dH$mg-`mÌmna àH$me S>m{bE Ÿ&

AWdm

XodZmJar {b{nH$s {deofVmAm| H$m C„oI H$s{OE Ÿ&

I) ^mfm H$s {deofVmE± ~VmBE Ÿ&

AWdm

^m{fH$ n[adV©Z Ho$ H$maUm| H$mo ñnï> H$s{OE Ÿ&

J) dmJ² §Ì H$m gå`H²$ n[aM` Xr{OE Ÿ&

AWdm

_mZñda Š`m h¡, g_PmBE Ÿ&

K) ^maVr` Am © mfm Ho$ {dH$mg H«$_ H$mo ñnï> H$s{OE Ÿ&

AWdm

qhXr H$r ì §OZ-pÜd{Z`m| H$m ^mfmd¡km{ZH$ n[aM` Xr{OE Ÿ&

V-37 [Turn Over

2. {ZåZ àíZm| Ho$ g§{já CÎma Xr{OE : 5 × 4

H$) qhXr H$m eãX §S>ma

I) ~mobr Am¡a ^mfm

J) ê$n {dkmZ

K) ñd{Z_ Am¡a g§ñdZ Ÿ&

3. {ZåZ àíZm| Ho$ CÎma AË §V g§jon _| Xr{OE : 1 × 8

H$) I‹S>r~mobr {H$g An «§e H$s CnO h¡ ?

I) àmH¥$V ^mfm Ho$ {H$VZo oX h¢ ?

J) "N>ÝXg²' Š`m h¡ ?

K) ~mobr H$~ gm{hpË`H$ ^mfm ~ZVr h¡ ?

L>) dmŠ` Ho$ {H$VZo à_wI A§J h¢ ?

M) g§Kfu Üd{Z {H$go H$hVo h¢ ?

N>) AKmof Üd{Z H$m EH$ CXmhaU Xr{OE Ÿ&

O) _mÌm Š`m h¡ ?

V-37-0.5

[ 2 ]

V-UG-Math(H)-VI(Arts/Sc)



The symbols used have their usual meaning

1. For any finite number of arbitrary sets A1, A2, ..... An,show that

A A A A An n1 2 1 ..... ..... .b g b g b gOR

Show that if A, B, C are independent events, then Aand B C are independent, also A\B and C areindependent.

2. If X is a positive random variable with density f, findthe density of X and X2.

ORIf X and Y are independent summable randomvariables, then show that E(XY) = E(X) . E(Y).

3. Six dice are thrown 200 times by the players. Estimatethe probability of obtaining "six different faces"K times, where K = 0, 1, 2, 3, 4, 5.

OR

V-39 [Turn Over

10. Write a program that will receive a file name and aline of text as command line arguments and write thetext to the file.

OR

Write a program to copy the contents of one file intoanother.

V-39-0.7

[ 4 ]

Let Xj be independent random variables with Poissondistributions j j nd i, .1 Then show thatX1 + .... + Xn has Poisson distributions

1 .... nb g .

4. A perfect die is thrown twice. Given that the totalobtained is 7, what is the probability that the first pointobtained is k, 1 k 6 ?

OR

State and prove Baye's theorem.

5. State and prove central limit theorem.

OR

If X and Y are random variables, then show thatX + Y, X – Y, XY, X/Y (Y 0), and aX + bY wherea and b are two numbers are also random variables.

6. Write an algorithm and draw the flowchart to find thesum of the series

1 + 2 + 3 + ..... + n, n N.

OR

Given the radius of a circle, write a program to computeand display its area. Use a symbolic constant to definethe value and assume a suitable value for radius.

7. Write a program that will read the values of elementsof two square matrices A and B and produce the productmatrix C.

ORWrite a program using a do...while loop to calculateand print the first Fibonacci numbers.

8. Write a program that uses a function to sort an array ofintegers.

ORWrite a function that will scan a character string passedas an argument and convert all lower case charactersinto their upper case equivalents.

9. Explain the meaning and purpose of the following :a) Templateb) Struck key wordc) Size of operatord) Tag name.

ORDefine a structure data type called time_structcontaining three numbers integer hour, integer minuteand integer second. Develop a program that wouldassign values to the individual members and displaythe time in the form 16 : 40 : 51.

V-39 [Turn Over

[ 3 ][ 2 ]

V-UG-Edn(H)-X



1. What is maxim of teaching ? Discuss with examplesthe important maxims of teaching. 2+10

OR

Explain the Herbartian approach to lesson planningand teaching. 12

2. Discuss the steps involved in the project method andpoint out its merits and demerits. 6+3+3

OR

What is Lecture method ? Discuss its advantages andlimitations. 2+5+5

3. Distinguish between projected and non-projected Aids.Discuss with examples the use of projected aids formaking classroom teaching effective. 4+8

OR

V-40 [Turn Over

Discuss the factors that affect students' attention andattitude for learning. 6+6

4. What is meant by Interaction Analysis ? DiscussFlander's interaction analysis system and state itsuse. 2+6+4

OR

Illustrate the practice and development of an importantteaching skill through micro-teaching technique. 12

5. Discuss the most appropriate method of teaching anyone of the subjects– MIL (Odia), English, History,Geography and Mathematics at the elementary level.State the aims of teaching the subject. 10+2

OR

Prepare an outline of a lesson plan on any topic in anysubject of your choice for the secondary level. 12

V-40-0.5

[ 2 ]

V-UG-Psy(H)-X



1. What is Organisational Behaviour ? Discuss the rolesand functions of management necessary for an effectiveand successful manager. 2+5+5

OR

What do you mean by job satisfaction ? Explain themeasurement and effects of job satisfaction. 2+5+5

2. Define a 'group'. Describe different stages of groupdevelopment. 2+10

OR

What is work-motivation ? Briefly discuss differenttheories of work motivation. 2+10

3. What is leadership ? Discuss characteristics andattributes of an effective leader. 4+8

OR

Define Power. Describe the sources of power. 4+8

V-41 [Turn Over

4. Briefly explain key elements of organisationalstructure. 12

OR

What is organisational culture ? Discuss itsfunctions. 4+8

5. Discuss the important selection devices used formaximum use of Human Resources. 12

OR

What do you mean by organisational change ? Describethe factors which resist organisational change. 2+10

V-41-0.6

[ 2 ]

V-UG-Phy(H)-X



1. Set up equations for electromagnetic waves in adielectric medium and solve. Show that the electric,magnetic field vectors and direction of propagation ofthese waves are mutually perpendicular. 3+6+3

OR

State and prove Poynting Theorem. Explain thesignificance of Poynting vector. 3+7+2

2. Explain with neat diagram the working of JFET. Drawits static characteristics and different regions. Obtain arelation among the constants rd, gm and , where thesymbols carry their usual meanings. 4+6+2

OR

a) With necessary diagram and mathematicalrelations, explain the working of a voltageregulator. 5+3+4

b) Write short notes on L-filter and C-filter.

V-42 [Turn Over

3. a) Obtain Barkhausen criterion for sustainedOscillations. 2+4

b) With neat circuit diagram explain the working ofa Colpitt oscillator. 3

c) Derive condition for sustained oscillations andexpression for frequency of oscillations for thisoscillator. 3

OR

a) Distinguish among the Class-A, B and Camlifiers. 3

b) With neat circuit diagram explain working of aClass-B push-pull amplifier. 3

c) Obtain expression for its efficiency and show thatits maximum value is 78.5%. 3

4. a) Describe how a resistor, a diode and a transistorare fabricated in an IC. 6+2+4

b) With neat diagram explain construction andworking of a Diac.

OR

With neat diagram explain construction and workingof different parts of a Cathode Ray Oscilloscope.Explain one of its applications. 3+6+3

5. a) A computer is transmitting the following groupsof bytes (8 bits each) to some output device. Obtainthe hexadecimal equivalent of 3 bytes 01011111,10110110 and 10001100. 2 × 3

b) Prove the following two Boolean identies

ABC ABC ABC ABC ABC A BC

and A B A C A BC b gb g 3 × 2

OR

a) Give the logic symbol and truth table of two logicgates NOR and NAND. 3+3

b) Show that these two gates are universal gates. 3+3

V-42-0.5

[ 3 ][ 2 ]

V-UG-Chem(H)-X



1. a) Explain whether the following complexes haveany orbital contribution to their meff values.

d2(oh), d4(Td), D7(Td). 2+2+1½b) Comment on the observed magnetic moments

(300K) of following compounds :K3CoF6(5.5 B.M); K3CuF6 (2.8 B.M.),K2NiF6 (0.0 B.M.). 4½

ORc) A metal forms two complexes in the same

oxidation state. In one complex, the magneticmoment is 4.9 B.M; in another it is 0.0 B.M. Whichof the following metals fit this description Givereason. 6

Cr(III), Mn(II), Mn(III), Fe(II), Fe(III), Co(II)d) Effective magnetic moment for two complexes are

given below. Describe the structure and bondingof these compounds on the basis of these values.i) [Ni(NH3)2Cl2] (3.3B.M)ii) [Ni(PEt3)2Cl2] (0.0B.M.). 4

V-43 [Turn Over

v) Transition elements form a large no. of complexcompounds.

ORa) Discuss lanthanide contraction giving causes and

consequences. 2+2+2b) Explain why : 4

i) Ce3+ is more basic than Ce4+|.

ii) La3+ is colourless but Lu4+ is orange red.

6. a) Discuss liquid drop model to explain stability ofnucleus. 4

b) What is meant by packing fraction ? Explain. 4c) Describe one method for detection and

measurement of radioactivity. 2OR

d) What is meant by nuclear fission ? Explain withexample. 5

e) Calculate Q value for the reaction 3

92

238

0 42

98

0 54

136

0

11 2 n M Xe n

The exact masses of reactants and products are

92

235

0235 044 1 0091 a m u n a m u. . ; . . ;

42

98

54

136

0 97 905 135 917M a m u Xe a m u . . . ; . . .

f) Why do lighter elements generally undergo fusionwhile heavier elements show nuclear fission ? 2

V-43-0.5

[ 4 ]

2. a) Discuss the role of Na+ and K+ in biologicalsystem. 4

b) Consider the disporpertionation reaction of H2O2

under acid medium.2H2O2(aq) 2H2O(l) + O2(g) ––– (1)

Latimer diagram of O2 including the speciesinvolved in the above reaction is

O H O H O2 2 2 20 70V 176V . .

Calculate E0 for the reaction (1) 3c) Write a note on harmful effect of excess intake of

metals on human body. 3OR

d) What is Poubaix diagram ? Draw the Poubaixdiagram of various Oxidation state of manganeseand explain the reasons. 6

e) Discuss the structure of Myoglobin. 4

3. a) What are following compounds known as ? Howwill you synthesize them. 1+6(i) CH3Li (ii) (C2H5)2 Be ; B(CH3)3

b) Discuss the structure of organometalliccompounds of boron. 3

OR

c) Describe three methods of preparation and threeproperties of organometallic compounds ofaluminium. 6

d) Write four properties of Alkyl Gringnardcompounds and Aryl Grignard compounds. 4

4. a) Describe laboratory method of preparation ofFerrocene and discuss its four importantproperties. 3+4

b) Define acidity. Give one example. 3OR

c) Discuss the structure of mononuclear andbinuclear metal carbonyls. 2+3

d) Discuss bonding in linear metal carbonyls. 3e) Describe two chemical properties of metal

carbonyls. 2

5. Give reasons : 2 × 5i) Zn, Cd and Hg have low melting point than other

d-block elements.ii) Transition metals are less electropositive than

s-block elements.iii) Transition elements exhibit good catalytic

properties.iv) Cupric salts are blue in colour while cuprous salts

are colourless.

V-43 [Turn Over

[ 3 ][ 2 ]

V-UG-Bot(H)-X



Draw labelled diagrams wherever necessary

1. Define ecotype and write its characteristic features.Describe different kinds of ecotype and methods oforigin.

OR

Write notes on :

a) Mutualism

b) Commensalism.

2. Give a comparative anatomical peculiarities adaptedin the stem of a hydrophyte and xerophyte.

OR

Write notes on :

a) Climax formation

b) Mangroves of Bhitarkanika.

V-44 [Turn Over

3. What is meant by energy flow in ecosystem ? With thehelp of a suitable model explain the energy flow in anecosystem.

OR

Write notes on :

a) Ecological Pyramids

b) Food Web.

4. Give an account of major forest vegetational zones ofIndia. Add a list of available plants in the zones.

OR

Write notes on :

a) Concept of social forestry and its significance.

b) Renewable resources.

5. Describe the causes, effect and control measures ofwater pollution in India.

OR

Write notes on :

a) Green house effect

b) Ozone depletion.

V-44-0.6

[ 2 ]

V-UG-Com(H)-VIII (FM)



1. What do you mean by Business Finance ? Should thegoal of financial decision making be profitmaximisation or wealth maximisation ? Discuss. 16

OR

A Limited Company is considering the purchase of anew machine, which will replace some manualoperations. There are two alternatives 'X' and 'Y'. Fromthe following information prepare a profitabilitystatement and work out the pay back period for each.

Model X Model Y` `

Cost of the machine 1,50,000 2,50,000Estimated life 5 years 6 yearsCost of indirect materials 6,000 8,000Estimated savings in scrap 10,000 15,000Additional cost of maintenance 19,000 27,000Employees not required 15 20

Wages per employee p.a. 6,000 6,000

V-47 [Turn Over

percent. Calculate EBIT level at which EPSwould remain same, irrespective of raisingfunds through equity or debentures. 8

5. A company is contemplating to liberalise its collectionefforts. Its present sales are Rs.10 lakhs, its averagecollection period is 30 days, its expected variable costto sales ratio is 85% and its bad debt ratio is 5%. Thecompany's cost of capital is 10% and tax rate 40%.The proposed liberalisation in collection effortincreases sales to 12 lakhs, increases collection periodby 15 days and increases bad debt ratio to 7 percent.Determine the change in net profit. 16

OR

What is working capital ? Discuss the factors that canbe considered while estimating working capitalrequirement of a business firm. 16

V-47-1.5

[ 4 ]

Tax rate is 50 per cent. Suggest which machine ispreferred. 16

2. Define Cost of Capital. Discuss in detail thesteps involved in computation of weighted averagecost of capital. Explain the problems faced indetermining it. 16

OR

On the basis of the following informations, determinethe weighted average cost of capital. (Assume tax rateapplicable 40%) 16

Capital component Details

a) Equity share Capital 10,00,000 equity shares of`100 each market valueper share `250. Growthrate of Dividend 6%

b) Retained earnings `5 crores

c) Debentures 1,00,000 Debentures of`100 each, Interest rate15% current market value: `110 each.

d) Preference Capital 50,000 shares of `100each, dividend rate 11%,current market price `90each.

3. a) Sales 1,00,000 units @ `2 per unit. Variable costper unit `0.70, fixed cost `1,00,000; interestcharges `3,668. Compute different leverages.Which combination of operating and financialleverages constitute (a) risky situation (b) idealsituation. 10

b) What is trading on equity ? What are itslimitations ? 6

OR

Write a detailed critical note on financial leverage andfinancial decision. 16

4. Explain the various factors which influence thedividend decision of a firm. 16

OR

a) Write a note on EBIT-EPS analysis. 8

b) X Ltd. has a total capitalisation of `10 lakhsconsisting entirely of equity share capital of `50each. It wishes to raise another `5 lakhs forexpansion through one of its two possible financialplans.

i) All equity shares of `50 each.

ii) All debentures carrying a percent interestpresent level of EBIT is `1,40,000 and tax 50

V-47 [Turn Over

[ 3 ][ 2 ]

V-UG-Com(H)-VIII (POM)



1. "Marketing is a dynamic function which has anevolutionary character". Discuss the statement in thecontext of various marketing concepts and distinguishbetween selling concept and marketing concept.

OR

"Marketing process is an interaction between marketingmix and marketing environment". Discuss thestatement and outline the factors which influence themarketing mix decision of a firm.

2. Define consumer behaviour. Discuss its significanceand explain various factors affecting consumerbehaviour.

OR

Discuss the characteristics of a good market segmentand explain the need and importance of marketsegmentation.

V-48 [Turn Over

3. What do you mean by new product ? State various stepsinvolved in a new product development process.

OR

Explain :

a) Product life cycle

b) Consumer goods Vrs. Industrial goods.

4. What do you mean by distribution channel ? Discussthe factors affecting the choice of a distributionchannel.

OR

What do you mean by physical distribution ? Explainthe various aspects of physical distribution and theirinterrelationship.

5. Define advertising. Draw out a comparision betweenprint media and electronic media of a advertising.

OR

Write notes on :

a) Optimum promotion mix

b) Function of a modern salesman.

V-48-1.5

[ 2 ]

V-UG-Com(H)-VIII (IBS)



1. Discuss the development of banking in India.

OR

Define 'Banking' and discuss its features.

2. Discuss the structure and organisation of S.B.I.

OR

Discuss the role of S.B.I. in rural finance and assistanceto small business units.

3. Discuss the provisions of Banking Regulation Act,1949, in relation to supervision of banks in India andsocial control.

OR

Discuss the applicability of Banking Regulation Act,1949 to Co-operative banks in India.

4. Discuss the role of Co-operative Banks in rural India.

OR

V-49 [Turn Over


a) Land Development Banks

b) RRB.

5. Discuss the objectives of Reserve Bank of India.

OR

Discuss the effectiveness of various credit controlmeasures taken by R.B.I.

V-49-1

[ 2 ]

V-UG-C.Sc(H)-X



1. Discuss various layers in OSL Model and explain thefunction of each layer.

OR


i) Analog Vs. Digital Signal

ii) Data rate limits

iii) Block coding.

2. What is Circuit Switching ? Describe the technologiesof circuit switching ?

OR

Discuss about GO back N-ARQ and selective repeatARQ.

3. What is Ethernet ? Describe the traditional, Fast andGigabit Ethernet ?

OR

V-46 [Turn Over


i) CSMA/CA Vs. CSMA/CD

ii) TCP / IP

iii) Routing.

4. What is cryptography ? Discuss the techniques usedfor it ?

OR


i) Non repudiation

ii) Integrity

iii) Privacy

iv) User Authentication with symmetric keycryptography.

5. a) Discuss the features of Java ?

b) Describe the Java and internet and Java and WorldWide Web.

OR

c) Describe the class and object concept of Java.

d) Write a program in Java to interchange the valueof two variable.

V-46-0.5

[ 2 ]

V-UG-Zool(H)-X




1. Write the characters, classification and functions ofMuscular time.

OR


a) Histology of Pancreas

b) Nervous tissue

c) Classification of epithelial tissue.

2. Discuss the different type of animal behaviour withexamples.

OR


a) Biological Clock

b) Mechanism of Learning

c) Instincts.

V-45 [Turn Over

3. In a monohybrid test it was observed that out of 500rice plants of F2 generation there were 293 awned seedplants and 207 awnless seed plants. Test the hypothesisthat the plants are in 3 : 1 ratio at 5% significance level.

ORWrite notes on any two :a) Standard deviationb) Meanc) Sample and Population.

4. Describe the principle and technique ofspectrophotometry in detail.

ORWrite notes on any two :a) Centrifugationb) Laws of thermodynamicsc) pH meters.

5. Describe the structure, life history of Hepatitis-B Virusand add a note on its pathogenecity.

ORWrite notes on any two :a) Cholerab) Atherosclerosisc) Influenza.

V-45-0.5

[ 2 ]

III-PG-Math-XI (OC)



or {(c),(d)} from each questionSymbols used have their usual meanings.

(According to 2010 Syllabus)

1. a) Discuss the EOQ model for inventory control. 9

b) Find the relation between doubling, tripling andquadrupling times for a population. 8

OR

c) Discuss the motion of a rocket neglecting gravityand air resistance. 9

d) Discuss the mathematical modelling in finding thedistance of the moon. 8

2. a) Show that the model represented by

dx dyx 4 x y , y 15 5x 3y ,dt dt

x 0, y 0 has a position of equilibrium, thisposition is stable and two species can coexist. 9

V-53(A) [Turn Over

b) Complete the discussion of motion of a particleon the outside of a smooth vertical circular wirewhen it is projected from the highest point withvelocity 3 ag. 8

OR

c) Solve x" + 25x = 25cos 5t and plot x(t). Discussthe nature of the motion. 9

d) Discuss the mathematical model for diabetesmellitus. 8

3. a) Discuss partial differential equation model for avibrating string. 8

b) Show that the optical management of forestsmodel for the continuous-time, discrete-age-scalecase also leads to a linear programmingproblem. 8

OR

c) Discuss the mathematical modelling ofPontryagin's maximum principle. 8

d) Derive the diffusion equation. 8

V-53(A)-0.2

[ 2 ]

III-PG-Math-XII (OC)





1. a) Prove that a normed linear space X is complete ifand only if every absolutely convergent series inX is convergent. 9

b) Let T be a closed linear map of a Banach space Xinto a Banach space Y. then show that T iscontinuous. 8

ORc) State and prove Banach-Steinhaus theorem. 9

d) Prove that Rn is a normed linear space with thefollowing norms.

i)1

n 22

ii 1

x x

ii) i1 i nx max x

8

2. a) State and prove Riesz-Representation theorem. 9

V-58(A) [Turn Over

b) Let (xn) be a sequence in a normed space X. Thenshow that

i) Strong convergence implies weakconvergence with the same limit.

ii) If dim X < , then weak convergence impliesstrong convergence. 8

OR

c) Let 1 11 p and 1.p q

Then show that l*p

is isometrically isomorphic to lq. 9

d) State and prove Holder's inequality. 8

3. a) Prove that in a inner-product space, theinner- product is continuous. 9

b) If K is a nonempty, closed and convex set in aHilbert space X, then show that there exists aunique vector in K of smallest norm. 8

ORc) Show that T B (X) is self adjoint if and only if

(Tx, x) is a real number for every x X. 8

d) Let um be an element of L2 (–, ) defined by

jntn

1u t e , n 0, 1, 2,....2

prove that {un}

is an orthonormal set in L2 (–, ). 8

V-58(A)-0.2

[ 2 ]

V-UG-Hist(H)-VI



1. Critically examine the important provisions of theTreaty of Versailles.

OR

Discuss the causes of the failure of the League ofNations.

2. Review the factors responsible for the growth offascism in post-war Italy.

OR

Analyse the causes of World War II.

3. Describe the main organs of the United NationsOrganisation.

OR

Examine the role of the United Nations Organizationin the Kashmir issue.

V-31 [Turn Over

4. What was the impact of the Cold War in differentregions of the world.

OR

Discuss the achievements of the Non-AlignmentMovement.

5. Account for the collapse of Communism in theUSSR.

OR

Give an account of the Indo-China relations.

V-31-0.5

[ 2 ]

III-PG-ODI-XIII(Reg/Back)



1. "¾æÜÿæ ÷Lõÿ†ÿ Óë¢ÿÀÿ, †ÿæÜÿæ ÓþÖZÿ ÿäë{Àÿ Óë¢ÿÀÿ' - ¨vÿç†ÿ ÷ ÿ¤ÿAœëÿÓÀÿ~{Àÿ Aæ{àÿæ`ÿœÿæ LÿÀÿ > 15

A$¯ÿæþ;ÿ¯ÿ¿ ÷LÿæÉÀÿ ÷Lÿõ†ÿ¯ÿç™# H Óæ¯ÿ™æœÿ†ÿæ Óó¨Lÿö{Àÿ {àÿQLÿZÿþ†ÿæþ†ÿ ¯ÿç{ÉÈÌ~ LÿÀÿ >

2. "{þæ ÓþßÀÿ HÝçÉæ' ëÖLÿ µÿç ÿç{Àÿ {àÿQLÿZÿ dæ†ÿ÷ fê¯ÿœÿÀÿ `ÿç†ÿ÷÷’ÿæœÿ LÿÀÿ > 15

A$¯ÿæ"AæŠfê¯ÿœÿ `ÿÀÿç†ÿ'Àëÿ üÿLÿêÀÿ {þæÜÿœÿZÿ {’ÿHæœÿê ÷Óèÿ D{àÿâQLÿÀÿ >

3. Ó ÷Óèÿ ÓÀÿÁÿæ$ö {àÿQ :

Lÿ) "F¨Àÿç A í ÿö {Óò¢ÿ¾ö¿ ÷†ÿçþæLëÿ {¾ ÓõÎç LÿÀÿçAd;ÿç, {Ó{Lÿ{Ý Óë¢ÿÀÿ {ÜÿæB$#{¯ÿ !' 5

A$¯ÿæ

V-60 [Turn Over

{’ÿæÌÀÿ Óþæ{àÿæ`ÿœÿæ {É÷ßÔÿÀÿ, þæ†ÿ÷ FÜÿæ {¯ÿæàÿç AµÿNÿç,AÉ÷•æ H AÜÿZÿæÀÿ{Àÿ `ÿæÁÿç†ÿ {ÜÿæB {àÿæLÿþæœÿZÿ þÜÿˆÿ œÿÎLÿÀÿç ÿæ Ó¯ÿö$æ A¯ÿç{šß >

Q) Fþæ{œÿ ’ÿ æÀÿ ç’ ÿ ÷¿Àÿ A†ÿÁÿ SÜÿ´Àÿ{Àÿ ¨Ýç$ #{àÿ Óë•æÓ¯ÿöS÷æÓê - Óæ$ö Àÿ†ÿæ Óµÿ¿ÓþæfLëÿ {¾¨Àÿç S÷æÓ LÿÀÿç$æF,FþæœÿZÿëÿ {Ó¨Àÿç S÷æÓ LÿÀÿç æ{Àÿ œÿæÜÿ] > 5

A$¯ÿæ{SæsçF äë’ÿ÷†ÿþ ’ëÿ¯ÿöæ’ÿÁÿÀÿ ÓõÎç þš D{”É¿¯ÿçÜÿœÿê œëÿ{Üÿô >

4. {¾ {Lÿò~Óç ¨æosçÀÿ Óóäç© DˆÿÀÿ ’ÿçA : 2 × 5Lÿ) { ÷þ àÿæµÿ LÿÀÿç ÿæLëÿ {Üÿ{àÿ Lÿ'~ Éçäæ Aæ¯ÿÉ¿Lÿ ?Q) {LÿDô Lÿþœÿêß Së~SëÝçLÿÀÿ ÓþÎç{Àÿ {Óò¢ÿ¾ö¿Àÿ DŒˆÿç ?S) ÓõÎçÀÿ œÿçßþ Lÿ'~ ?W) {LÿDô ÷ õÿˆÿçsç Wõ~æ Àíÿ¨{Àÿ †ëÿþLëÿ ÜÿçóÓ÷ f;ëÿ{Àÿ ¨Àÿç~†ÿ

Lÿ{Àÿ ?Yÿ) ¯ÿçÀÿæs SÝ {LÿDô œÿ’ÿê †ÿs{Àÿ A¯ÿ×ç†ÿ ?`ÿ) ¯ÿæÀÿç ’ÿæ ÜÿæBÔëÿàÿÀÿ {LÿDô Üÿ{Îàÿ{Àÿ LõÿÐ`ÿ¢ÿ÷ ¨æ~çS÷æÜÿê

ÀÿÜëÿ$#{àÿ ?d) üÿLÿêÀÿ {þæÜÿœÿZÿ ÿæ¨æ {LÿDô ×æœÿ{Àÿ ÷æ~†ÿ¿æS LÿÀÿç$#{àÿ ?f) üÿLÿêÀÿ {þæÜÿœÿ {Lÿ{†ÿ¯ÿÌö ¯ÿßÓ{Àÿ ¯ÿç ÿæÜÿ LÿÀÿç$#{àÿ ?

V-60-0.5

[ 2 ]

III-PG-Math-XIII (MM)




1. a) Discuss EOQ model for inventory control. 5

b) Find the relation between doubling, tripling andquadrupling times for a population. 5

OR

c) Discuss the motion under gravity in a resistingmedium. 5

d) Prove that b

af x ln f x dx is maximum

subject to b

a

1f x dx 1 when f x .b a

5

2. a) Show that the model represented by

dx dyx 4 x y , y 15 5x 3y ,dt dt

x 0, y 0 has a position of equilibrium, thisposition is stable and two species can coexist. 5

V-63 [Turn Over

b) Discuss Samuelson's investment model. 5

OR

c) Discuss Lachester's combat model. 5

d) Discuss a model for diabetes mellitus. 5

3. a) Discuss the mathematical modelling of the motionunder central force. 5

b) Solve x" + 25x = 25 cos 5t and plot x(t). Discussthe nature of the motion. 5

OR

c) Discuss the motion of a particle on a smooth orrough vertical wire. 5

d) Discuss Kepler's laws of planetory motions. 5

4. Discuss mathematical modelling in terms of diffusionequation. 10

OR

Discuss P.D.E. model for birth-death-immigration-emigration process. 10

5. a) Discuss linear programming formulation of thetheory of the firm. 5

b) Show that the dual of the dual problem is theprimal problem. 5

OR

c) Consider the problem of maximizing

b

aI F t, x, h t dt subject to dx h t

dt .

Use the maximum principle to deduceEuler-Lagrange equation of calculus ofvariations. 5

d) Discuss the mathematical modelling for thesolution of a simple time-optimal problem. 5

V-63-0.5

[ 3 ][ 2 ]

III-PG-Math-XIII (OC)





1. a) Show that a simple graph with n vertices and kcomponents can have at most

n k n k 12

edges. 7

b) Show that the maximum degree of any vertex in asimple graph with n vertices is n – 1. 6

OR

c) Show that in a complete graph with n vertices thereare (n – 1)/2 edge-disjoint Hamiltonian circuits,if n is an odd number 3. 7

d) Prove that any two simple connected graphs withn vertices, all of degree two, are isomorphic. 6

V-63(A) [Turn Over

2. a) Prove that a vertex in a connected graph G is acut-vertex if an only if there exist two vertices xand y in G such that every path between x and ypasses through . 7

b) Show that a Hamiltonian path is a spanningtree. 6

OR

c) Prove that an Euler graph cannot have a cut-setwith an odd number of edges. 7

d) Prove that : 3 + 3

i) Any connected graph with n vertices and(n – 1) edges is a tree.

ii) A tree with n vertices has n – 1 edges.

3. a) Prove that a connected planar graph with n verticesand e edges has e – n + 2 regions. 6

b) Show that a diagraph G is an Euler diagraph ifand only if G is connected and is balanced. 6

OR

c) Prove that every edge in a diagraph belongs eitherto a directed circuit or a directed cut-set. 6

d) Show that Kuratowski's second graph isnonplanar. 6

4. a) Let A(G) be an incidence matrix of a connectedgraph G with n vertices. Show that an n – 1) by(n – 1) submatrix of A(G) is nonsingular if andonly if the n – 1 edges corresponding to the n – 1columns of this matrix constitute a spanning treein G. 6

b) Prove that a graph with atleast one edge is2-chromatic if and only if it has no circuits of oddlength. 6

OR

c) Prove that the rank of cut-set matrix C(G) is equalto the rank of the incidence matrix A(G), whichequals the rank of graph G. 6

d) Prove that the vertices of every planar graph canbe properly colored with five colors. 6

V-63(A)-0.2

[ 3 ][ 2 ]

III-PG-Phy-XIII (BNPP)



1. a) What are non-central forces ? Discuss theirproperties. 4

b) On the basis of Yakawa theory explain how Isopininvariance leads to charge independence. 6

c) Classify the different types of exchange forces anddiscuss their significance. 5

OR

a) Which experimental observations support theliquid drop model of the nucleus ? 3

b) Describe the shape Oscillations of a liquid dropon the basis of the Bohr Wheeler theory anddiscuss how the theory explains the main featuresof the experimental data on nuclear fission. 7+5

2. a) Discuss the compound nucleus theory of nuclearreaction. Hence obtain an expression for lowenergy scattering cross section. 9+6

b) Discuss the selection rules for allowed transitionsin Beta decay. 5

OR

a) What is Geiger-Nuttal law ? 5

b) What is alpha decay ? Discuss Gamow theory ofalpha decay. 3+12

3. a) Discuss the various characteristics of fundamentalforces and discuss the conservation laws appliedto it. 7

b) Give the quark structure of Meson and BaryonOctet. 8

OR

Write short notes on : 5 ×3

a) Gellmann-Nishijima Scheme

b) Lepton numbers

c) Baryon number.

V-62-0.3

[ 2 ]

V-62 [Turn Over

III-PG-Pol.Sc-XIII (IPG-II)



1. Examine the role played by Religion in IndianPolitics. 20

OR

"Political violence has been major challenge to Indiandemocracy". Explain.

2. "Politics of Environment is one of the important issuesof the day". Elucidate. 20

OR

Write an essay on the Dalit Movements in India.


a) Explain various measures adopted by theGovernment for Gender equality in India.

b) Factors responsible for Peasant Movement inIndia.

c) Role of Tribe in Indian Politics.

V-61-0.5

III-PG-Pol.Sc-XIII (IPG-II)



1. Examine the role played by Religion in IndianPolitics. 20

OR

"Political violence has been major challenge to Indiandemocracy". Explain.

2. "Politics of Environment is one of the important issuesof the day". Elucidate. 20

OR

Write an essay on the Dalit Movements in India.


a) Explain various measures adopted by theGovernment for Gender equality in India.

b) Factors responsible for Peasant Movement inIndia.

c) Role of Tribe in Indian Politics.

V-61-0.5

III-PG-Com-XIII (ASM)



1. Discuss the economic and social effects ofadvertising. 16 2

3

OR

What is an advertising budget ? Mention the principalconsiderations involved in making it in a big industrialenterprise. 4+12 2

3

2. State and explain the important considerations whichshould guide the choice of a suitable advertisingmedia. 16 2

3

OR

Discuss the types of appeal of the message inadvertising. 16 2

3

3. Discuss briefly the various techniques of testingadvertsing effectiveness. 16 2

3

OR

What do you mean by Selling Process ? What logicalsteps are involved in it in the present-day commercialworld ? 4+12 2

3

V-65-0.8

[ 2 ]

V-65 [Turn Over

III-PG-Com-XIII (FM)



1. "Finance function is concerned with allocating fundsto specific assets and obtaining the best mix offinancing in relation to the overall valuation of thefirm". Discuss.

OR

"Maximisation of profits is regarded as the properobjective of investment decision, but it is not asexclusive as maximising shareholders wealth".Comment.

2. Give a comparative description of net present valuemethod and internal rate of return method.

OR

A company proposes to install a machine involving a capitalcost of 1,80,000. The life of the machine is 5 years and itssalvage value at the end of the life is nil. The machine willproduce a net operating income after depreciation of`34,000 p.a. The company's tax rate is 40%.

V-65 [Turn Over

The net present value factors for 5 years are as under :

Discounting 14 15 16 17 18

Cumulative factors 3.43 3.35 3.27 3.20 3.13

Calculate IRR of the project.

3. Distinguish between operating leverage and financialleverage. How these leverages help in magnifyingrevenue of a concern ?

OR

Company's present book value capital structure is asfollows :

Debentures (`100 per debenture) `7,00,000

Preference shares (`100 per share) `3,00,000

Equity shares (`10 each) `10,00,000

All these securities are traded in the capital marketand their present prices are : Debenture `110 perdebenture preference stock 120 per share and equityshare `22 per share.

Anticipated external financing opportunities are :

a) `100 redeemable debenture at face value after8 years 13% interest rate 4% floating cost.

b) 14% redeemable preference share (5 years), itinvolves floation cost of 5% and the sale price`100.

c) Equity share : `2 per share brokerage `22 salesprice.

In addition, the dividend expected on the equity shareat the end of the year is `2 per share. The anticipatedgrowth rate in dividend is 6% and the corporate taxrate is 40%.

Compute weighted average cost of capital

i) On Book value weights

ii) On Market Value weights.

V-80

[ 3 ][ 2 ]

III-PG-Pol.Sc-XIV



1. 'Political Sociology is an inter-disciplinary hybrid'(Sartori). Explain. 20

OR

Discuss the Behavioural Approach to the study ofPolitical Sociology.

2. Examine Marxian concept of Class and Classconflict. 20

OR

Explain Emil Durkheim's views on 'Division ofLabour'.

3. Write short note on any one : 10

a) The Marxist view of Political Sociology

b) Max Weber's concept of Authority.

c) Durkheim's theory of 'Suicide'.

V-67-0.5

III-PG-ODI-XV(Reg/Back)



1. µÿæÌæÀÿ Óójæ H ÓÀíÿ¨ ÷’ÿæœÿ LÿÀÿ > 20

A$¯ÿæ

µÿæÌæ ÓõÎçÀÿ ¯ÿçµÿçŸ þ†ÿ¯ÿæ’ÿ D{àÿâQ LÿÀÿ >

2. õ$# ÿêÀÿ ÿçµÿçŸ µÿæÌæ {SæÏê Óó¨Lÿö{Àÿ FLÿ ÷ ÿ¤ÿ {àÿQ > 20

A$¯ÿæ

þšµÿæÀÿ†ÿêß Aæ¾ö¿µÿæÌæ Óó¨Lÿö{Àÿ Aæ{àÿæ`ÿœÿæ LÿÀÿ >

3. {¾ {Lÿò~Óç ’ëÿBsçÀÿ Óóäç© sçª~ê {àÿQ : 5 × 2

Lÿ) D¨µÿæÌæ

Q) {’ÿð ÿê DŒˆÿç Óç•æ;ÿ

S) œÿ¯ÿêœÿ µÿæÀÿ†ÿêß Aæ¾ö¿ µÿæÌæ

W) BÀÿæœÿê µÿæÌæ >

V-72-0.5

III-PG-Pol.Sc-XV



1. Examine the steps taken for the promotion of NationalIntegration in India. How can we secure a higher levelof National Integration in India ? 20

ORDiscuss the growing impact of Regionalism in IndianPolitics in 21st Century.

2. Analyse the impact of Urbanisation and Industrialisationas agency of social change in India. 20

ORWhat is meant by Modernisation ? Discuss the majorsources and means of modernisation.

3. Write short notes on any one : 10a) Challenges of diversity to national unityb) Role of castec) Factors of changed) Westernisation.

V-73-0.5

III-MA(PS-302)-N&F(Old Course)

2013Full Marks - 80Time - 3 hours


1. What is nuptiality ? Discuss its basic measures.OR

Write a note on Widow remarriage and itsimplications for the Indian social system.

2. Discuss the importance of studying fertility in theIndian context.

ORDiscuss the various methods of family planning.

3. Critically analyse social capillarity theory of fertility.OR

Discuss the causes of fertility decline in India.

4. Discuss briefly the basic measures of fertility.OR

Write a note on Coale's fertility index.

L-823-0.4

III-PG-ODI-XIV(Reg/Back)



1. "Aæ{þÀÿçLÿæ Aœë&íµíÿ†ÿç'Àëÿ {àÿQLÿZÿ Lÿ¿æ¸ fê ÿœÿ D{àÿâQ LÿÀÿ > 15

A$¯ÿæ

"{’ÿ{É{’ÿ{É' S÷¡ÿÀëÿ {àÿQLÿZÿ ¨¿æÀÿçÓú Aœëÿµíÿ†ÿç ¯ÿ‚ÿöœÿ LÿÀÿ >

2. "¨†ÿ÷ H ÷†ÿçþæ' ëÖLÿ{Àÿ ÓŸç{¯ÿÉç†ÿ "¯ÿçÉæÓ' ÷ ÿ¤ÿÀÿ µÿæ¯ÿ™æÀÿæ¯ÿç{ÉÈÌ~ LÿÀÿ > 15

A$¯ÿæ

Àÿþ¿Àÿ`ÿœÿæ µÿæ¯ÿ{Àÿ "þ~çÌ Óº¤ÿ{Àÿ FLÿ ÷ ÿ¤ÿ'Àÿ þíàÿ¿æßœÿLÿÀÿ >

3. {¾ {Lÿò~Óç ’ëÿBsçÀÿ Ó ÷Óèÿ ¯ÿ¿æQ¿æ LÿÀÿ > 5 × 2

Lÿ) {`ÿÎæ œÿ LÿÀÿç Aœëÿ†ÿæ¨ LÿÀÿç ÿæ A{¨äæ {`ÿÎæLÿÀÿç Üÿ†ÿæÉ{Üÿ¯ÿæ µÿàÿ >

Q) ÷{†ÿ¿Lÿ ¯ÿ¿Nÿç µÿç†ÿ{Àÿ {¯ÿæ™ÜëÿF {SæsçF {SæsçF ¾æ¾æ¯ÿÀÿþ{œÿæ¯õÿˆÿç d ç ÀÿÜÿçdç >

V-66 [Turn Over

S) {¯ÿæ™ÜëÿF FB Aœÿ¿Lëÿ Aæœÿ¢ÿ {’ÿ ÿæÀÿ µÿæ¯ÿ ÀÿÜÿç$# ÿæÀëÿ {Ó¯ÿæÀÿAæD FLÿ Aæµÿç™æœÿçLÿ A$ö - {†ÿæÌæþ’ÿ - {†ÿæÌ ’ÿæÀÿæAæ{þæ’ÿ >

W) þ~çÌ {¯ÿ{Áÿ {¯ÿ{Áÿ µëÿàÿ Lÿ{Àÿ, AæD Fþç†ÿç µëÿàÿ Lÿ{Àÿ{¯ÿæàÿç Üÿ] {Ó þ~çÌ {ÜÿæB Àÿ{Üÿ >


Lÿ) ¯ÿçàÿæ†ÿç Óæ{Üÿ¯ÿZÿ ¨æsç{Àÿ Ó¯ëÿ{¯ÿ{Áÿ Lÿ'~ ¨Ýç$æF ?

Q) ""{f¿æ†ÿçÌ LÿÜëÿd;ÿç, †ëÿ Aæ{þÀÿçLÿæ œÿçÊÿß ¾ç ëÿ, {`ÿÎæ LÿÀÿ''- F Lÿ$æ LÿçF {àÿQ#$#{àÿ ?

S) A$ö{œÿð†ÿçLÿ xÿç{ ÷Óœÿ `ÿæàÿç$#àÿæ{¯ÿ{Áÿ {LÿDôþæœÿZëÿ Óþë’ÿ÷¨æ~ç{Àÿ xëÿ¯ÿæB þæÀÿç’ÿçAæ ¾æD$#àÿæ ?

W) {àÿQLÿZÿ fæÜÿæfÀÿ œÿæþ Lÿ'~ $#àÿæ ?

Yÿ) ¯ëÿ•çÀÿ {¾Dôvÿç {ÉÌ {ÓBvÿç LÿæÜÿæÀÿ AæÀÿ» ?

`ÿ) µÿNÿçÀÿ `ÿçÀÿ’ÿçœÿ ¯ÿæ™Lÿ LÿçF ?

d) þÜÿæµÿæÀÿ†ÿ{Àÿ LÿæÜÿæLëÿ œÿæsÀÿ {Sæ¯ÿ•öœÿ {¯ÿæàÿç ™Àÿç œÿçAæ¾æB¨æ{Àÿ ?

f) ÷†ÿç þëÜíÿˆÿö{Àÿ œÿæÀÿæß~ œÿæÀÿæß~ {¯ÿæàÿç LÿçF µÿf;ÿç ?

V-66-0.5

[ 2 ]

III-PG-Phy-XIV (SSP)



1. Discuss harmonic and anharmonic approximation inthe content of lattice vibrational studies find out anexpression of Hamiltonian on the basis of quantumtheory for a harmonic crystal. 6+10

OR

a) Explain and derive the origin of the forbiddenenergy gap in the crystalline solids. 11

b) Write a note on quantization of lattice vibration.Show that the displace due to lattice vibrationrelates to phonon occupency mode. 5

2. a) What are the experimental methods for the studyof the fermi surface. Discuss de Hass Van Alpheneffect in detail. 2+6

b) Discuss Friedel sum role and Friedel oscillation. 9

OR

Derive Lindherd's expression for the wave vectorand frequency dependent dielectric function (q, w).Find its limiting value in the static screeningapproximation. 12+5

3. a) Derive the linearised Boltzmann transportequation. 10

b) Discuss Hall effect in two band model. 7

OR

Write notes on : 8½+8½

a) Zenner break down and tunnelling

b) Magneto resistance.

V-68-0.3

[ 2 ]

V-68 [Turn Over

III-PG-Com-XIV(SAPM)



1. Discuss the various approaches of investmentanalysis. 16 2

3

ORDiscuss the different types of financial assets and theircharacteristics.

2. What is primary market ? Discuss its role andfunctions. 16 2

3

ORDiscuss the SEBI guidelines relating to size and pricingof public issue.

3. Write notes on :a) Role and importance of Brokers 8 1

3

b) Trading mechanism. 8OR

a) Screen Based Trading 8b) Depository Act 1996. 8 1

3

V-70-0.8

III-PG-Com-XIV(IM)



1. "Basically marketing abroad is the same as marketingwithin the country requiring the same methods andapproaches". Discuss. 17

OR

Discuss the various factors that influence the decisionrelating to EPRG orientation.

2. How do cultural, economic and political factors affectthe environment for international marketing ? 16

OR

Explain the inter-relationship between internationalmarket segmentation, targeting and positioning.

3. a) Evaluate the advantages and disadvantages ofvarious branding strategies in internationalmarketing. 10

b) What are the special considerations in packagingand labelling in international marketing ? 7

OR

What are the factors that influence pricing strategingfor exportable products in a firm ? What are thedifferent pricing strategies to be adopted in foreignmarkets ? 17

V-71-0.8

[ 2 ]

V-71 [Turn Over

III-PG-Math-XIV (OTA)



or {(c),(d)} from each question

1. a) Use simplex method to solve the LPP : 8

Maximize z = 4x1 + 10x2

subject to2x1 + x2 50, 2x1 + 5x2 100, 2x1 + 3x2 90

x1 0, x2 0.

b) Use dual simplex method to solve the LPP : 8

Minimize z = 3x1 + x2

subject tox1 + x2 1, 2x1 + 3x2 2, x1, x2 0.

OR

c) Use duality to solve the LPP : 9

Maximize z = 2x1 + x2

subject tox1 + 2x2 10, x1 + x2 6, x1 – x2 2,x1 – 2x2 1, x1, x2 0.

V-69 [Turn Over

c) Solve the travelling salesman problem given bythe following data

c12 = 20, c13 = 4, c14 = 10, c23 = 5, c34 = 6, c25 = 10,c35 = 6, c45 = 20, where Cij = cji and there is noroute between cities i and j if cij is not shown. 8

d) Consider the following transhipment problem withtwo sources and two destinations, the cost ofshipment in rupees is given below. Find theoptimal shipping schedule : 8

Source Destination SupplyS1 S2 D1 D2

S1 0 2 3 4 5S2 2 0 2 4 25

D1 3 2 0 1D2 4 4 1 0

Demand 20 10

V-69-0.5

Source

Destination

[ 4 ]

d) Let x1 = 2, x2 = 4 and x3 = 1 be a feasible solutionof the system of equations

2x1 – x2 + 2x3 = 2 x1 + 4x2 = 18

Reduce the feasible solution to two basic feasiblesolutions. 8

2. a) Solve the LPP : 8Minimize z = 9x1 + 10x2

subject tox1 9, x2 8, 4x1 + 3x2 40, x1 0, x2 0 andare integers.

b) Use revised simplex method to solve the followingLPP : 9Maximize z = 3x1 + 5x2

subject tox1 4, x2 6, 3x1 + 2x2 18and x1 0, x2 0.

ORc) Use branch and bound method to solve the LPP :

Minimize z = 4x1 + 3x2

subject to5x1 + 3x2 30, x1 4, x2 6, x1 0, x2 0

and are integers. 9

d) Use simplex method to solve the following goalprogramming problem : 8

Minimize 1 1 2 2 2 2 3 1z P d P d 2P d P d subject to

1 2 1 110x 10x d d 400

1 2 2 3x d 40, x d 30

1 2 1 1 2 3x , x , d , d , d , d 0

3. a) Solve the following transportation problem : 8

Source Destination Available1 2 3 4

1 1 2 1 4 302 3 3 2 1 503 4 2 5 9 20

Requirement 20 40 30 10

b) Solve the assignment problem : 8

A B C D1 1 4 6 32 9 7 10 93 4 5 11 74 8 7 8 5

OR

V-69 [Turn Over

[ 3 ][ 2 ]

III-PG-Math-XV (NT)


The figures in the right-hand margin indicate marksAnswer all questions selecting either {(a),(b),(c)}

or {(d),(e),(f)} from each question

1. a) Prove that the set of primes is infinite. 4

b) If g is the greatest common divisor of b, c thenprove there exists integers m, n such that

g = (b, c) = mb + nc. 8

c) If n > 1, prove that

p|n

1n n 1p

5

OR

d) If 0 x y, x, y 1, prove the fraction xy

appears in the yth and all later rows. 6

e) Let p denote a prime. Prove x2 –1 (mod p) hassolutions if and only if p = 2 or p 1 (mod 4). 6

f) Compute (3600). 5

V-74 [Turn Over

2. a) State and prove Hurwitz's Theorem. 8

b) If p is a prime then prove that

p 1 1 mod p . 4

c) If Q is odd and Q > 0.

Prove Q 1

21 1Q

. 5

OR

d) Evaluate 23 51 71, ,

83 71 73

6

e) If n is a positive integer and x is real then prove

there is a rational number ab such that

a 10 b n and xb b n 1

6

f) If 1 2 re e er1 2n p p .... p prove

i 1er i

ii 1

p 1n 1 1.

p 1

5

3. a) Prove that R N N O N . 6

b) Prove that if an integer n is divisible by a prime ofthe term 4k + 3 then Q(n) = 0 where Q(n) = numberof primitive solutions of x2 + y2 = n. 5

c) Find all odd primes p such that 3 is a anadrulicresidues modulo p. 5

OR

d) Prove that every positive integer n is a sum offour squares. 7

e) If d |n

f n f d for every positive integer n.

Prove that d|n

nf n f dd

5

f) Find all primes q such that

5 1q . 4

V-74-0.5

[ 3 ][ 2 ]

III-UG-BBA(C)-III (BRF)



1. "All contracts are agreements but all agreements arenot contracts". Explain.

OR

What are the various remedies available to a party incase of breach of contract ?

2. Who is a bailor ? State briefly his rights and duties.

OR

Explain the various modes of termination of agency.

3. Explain briefly the implied conditions in a contract ofsale.

OR

When is a seller of the goods deemed to be an unpaidseller ? What are the rights of an unpaid seller againstthe goods and the buyer personally ?

V-75 [Turn Over

4. Define a promissory note. Distinguish it from a bill ofexchange.

OR

What is meant by the term 'crossing of a cheque' ? Whatare the various types of crossing ? Discuss.

5. "A company is an artificial person, created by law witha perpetual succession and a common seal". Explainthis statement.

OR

Define the term 'resolution'. Explain different kinds ofresolutions.

V-75-1

[ 2 ]

III-UG-MIL(O)-II(Reg/Back)



1. "Óæ™êœÿ†ÿæÀÿ œíÿ†ÿœÿ þíàÿ¿{¯ÿæ™' ÷ ÿ¤ÿÀÿ {þòÁÿçLÿ Aæ™æÀÿSëÝçLÿë÷æ¯ÿ¤ÿçLÿZÿ ’õÿÎç{Lÿæ~Àëÿ ¯ÿç ÿæÀÿ LÿÀÿ > 20

A$¯ÿæ

¾æ¯ÿ†ÿêß ÷†ÿç ÿ¤ÿLÿÿ Ó{ˆÿ ™þö-Óþæf-ÓæÜÿç†ÿ¿ Lÿç Àÿç ¨ÀÿØÀÿÓÜÿ fÝç†ÿ - {àÿQLÿZÿ þ†ÿ AœëÿÓÀÿ~{Àÿ ¯ÿç{ÉÈÌ~ LÿÀÿ >

2. Ó ÷Óèÿ ÓÀÿÁÿæ$ö {àÿQ : 10

"{¾Dô {’ÿÉÀÿ ¾ë ÿÉNÿç DûæÜÿ H Aæ’ÿÉöÀÿ Aµÿæ¯ÿ{Àÿ ALÿæÁÿ{ÀÿA ÿÓŸ {ÜÿæB¨{Ý, {ÓB {’ÿÉÀÿ µÿ ÿçÌ¿†ÿ †ÿþÓæbÿŸ {ÜÿæB¨{Ý >

A$¯ÿæ

"{¯ÿðÀÿæSêÀÿ fæ†ÿç œÿæÜÿ], A$öæ†úÿ ¯ÿç{¯ÿLÿêÀÿ fæ†ÿç œÿæÜÿ], ¯ÿç’ÿ¿æ¯ÿ;ÿÀÿfæ†ÿç œÿæÜÿ]' >

3. "’ëÿ{¾ö¿æ™œÿÀÿ ÀÿNÿ œÿ’ÿê Ó;ÿÀÿ~' Lÿ¯ÿç†ÿæsç FLÿ AÓÜÿæß ç†ÿæÀÿLÿÀëÿ~ Aµÿç ÿ¿Nÿç' - F DNÿçÀÿ ¾æ$æ$ö¿ ¯ÿç ÿæÀÿ LÿÀÿ > 20

A$¯ÿæ

8. {¾ {Lÿò~Óç {SæsçLÿÀÿ DˆÿÀÿ {àÿQ : 15

Lÿ) ÓæÀÿÁÿæ ÓæÜÿç†ÿ¿{Àÿ HÝçÉæÀÿ Óþæf-fê¯ÿœÿ Lÿç Àÿç ÷†ÿçüÿÁÿç†ÿ{ÜÿæBdç ’ÿÉöæA >

Q) Àÿæ™æœÿæ$ Aæ™ëœÿçLÿ HÝçAæ ÓæÜÿç†ÿ¿Àÿ ¯ÿæˆÿöæ¯ÿÜÿ - Aæ{àÿæ`ÿœÿæLÿÀÿ >

S) "üÿLÿêÀÿ {þæÜÿœÿZÿ D¨œÿ¿æÓÀÿ `ÿÀÿç†ÿ÷SëÝçLÿ Óþ ÓæþßçLÿÓþæfÀëÿ SõÜÿê†ÿ' - ¯ÿç ÿæÀÿ LÿÀÿ >

V-76-3.5

[ 4 ]

V-76 [Turn Over

"Lÿ¯ÿçÀÿ ÿ¿$æ' Lÿ¯ÿç†ÿæsç FLÿ Óæµÿçþæœÿê Lÿ¯ÿçÀÿ {Q{’ÿæNÿç - Aæ{àÿæ`ÿœÿæLÿÀÿ >

4. Ó ÷Óèÿ Aæ{àÿæ`ÿœÿæ LÿÀÿ : 10

¯ÿç ÿ{Àÿ {Ó A†ÿç àÿ¸s, ¯ÿç-¯ÿÀÿ ¯ÿçÜÿèÿþ Àÿæs¯ÿç™#{Àÿ {Ó A†ÿç àÿ¸s, Aæ¨~ {Ó †ÿ ¨s-¨s{Áÿ Ùëÿs {Üÿ >

A$¯ÿæ

LÿæÜÿ]Lÿç {þæ{†ÿ ÓóÓæÀÿ àÿsþš{Àÿ ÷µëÿ Lÿàÿ ÓóWs

Lÿç æBô œÿ Lÿàÿ `ÿÀÿ~ ¨’ÿ½ LëÿÓëþ-àÿçs {Üÿ >

5. {¾ {Lÿò~Óç {SæsçLÿÀÿ µÿæ¯ÿ Óó ÷ÓæÀÿ~ LÿÀÿ : 10

Lÿ) `ÿæàÿç œÿ fæ~ç ¯ÿæsÀÿ {’ÿæÌ >

Q) H™ Óæèÿ{Àÿ ¯ÿ~µëÿAæ ¯ÿæB >

S) lç+çLÿæ þæÀÿç ¯ÿ~ç {¨æÌç ÿæ œÿ¿æß >

6. œÿç{þ§æNÿ ¯ÿæLÿ¿SëÝçLÿÀÿ Éë• Àíÿ¨ {àÿQ : 5

Lÿ) Ó¯ëÿf ¨œÿç Àÿç ÿæ þœëÿÌ¿Lëÿ ÜõÿÎ õÎ Lÿ{Àÿ >

Q) A†ÿç {àÿºë `ÿç ëÝç{àÿ ç†ÿæ >

S) Àÿæþ œÿçÀÿæÉ{Àÿ WÀÿLëÿ {üÿÀÿçàÿæ >

W) QæB ¯ÿÓç{àÿ œÿC ¯ÿæàÿç Ó{Àÿ >

Yÿ) {Ó f{~ œÿç…Óæ$ö Àÿ ¯ÿ¿Nÿç >

7. µÿæ¯ÿ Óó{ä¨~ LÿÀÿ : 10

þ~çÌ fœÿ½Àëÿ `ÿ†ëÿÀÿ œÿ$æF, HÁÿçAæÀëÿ Sf {Üÿ¯ÿæ Lÿ´ ÿç†ÿ ¯ÿ¿æ¨æÀÿ >LÿæÀÿ~ Aœëÿµíÿ†ÿç H Aµÿçj†ÿæ þ~çÌLëÿ Ó¯ëÿvÿæÀëÿ ÿÝ LÿÀÿç SÞç{†ÿæ{Áÿ >{¾Dôvÿæ{Àÿ Aœëÿµíÿ†ÿç ÜëÿF †ÿê¯ÿ÷ AæD Óæ¢ÿ÷, {Óvÿæ{Àÿ þ~çÌÀÿ Aµÿçj†ÿæ¯õÿ•ç æF, Óæ™æÀÿ~ þ~çÌ {SæsæF, {d`ÿæ çsæ þ~çÌ{Àÿ ¨Àÿç~†ÿ{ÜÿæB$æF > LÿæÜÿæÀÿç {Lÿò~Óç Aœëÿµíÿ†ÿç þíÁÿÀëÿ œÿ$æF > Óþß F¯ÿó¨Àÿç×ç†ÿç ’ÿæß{Àÿ þ~çÌÀÿ Aœëÿµíÿ†ÿç H Aµÿçj†ÿæ Ag}†ÿ {ÜÿæB$æF >÷†ÿçä~{Àÿ þ~çÌ Lÿçdç œÿæ Lÿçdç Aœëÿµíÿ†ÿç ÉçäæLÿ{Àÿ, Lÿçdç œÿæ Lÿçdç

Aµÿçj†ÿæ þš Aföœÿ LÿÀÿç$æF > {†ÿ{¯ÿ þíÁÿÀëÿ {LÿÜÿç {Lÿ{¯ÿ ¯ÿæfæ¯ÿfæB¯ÿæ fæ~ç œÿ$æF > {¾{†ÿ{¯ÿ{Áÿ {¯ÿLÿ{Àÿ ¯ÿæfæ ¨Lÿæ¾æF,{Ó{†ÿ{¯ÿ{Áÿ þ~çÌ ÿæš {ÜÿæB ÿæfæ ÿfæB¯ÿæ ÉçäæLÿ{Àÿ > üÿÁÿ†ÿ…þ~çÌ µÿç†ÿ{Àÿ ÉNÿç H Óæþ$ö¿ ¯õÿ•ç ¨æF > ÷Lõÿ†ÿ{Àÿ FÜÿç þ~çÌµÿç†ÿÀÿÀÿ Aj†ÿæ H Aœÿµÿçj†ÿæ Lÿ÷þÉ… ÿçj†ÿæ H Aµÿçj†ÿæ{Àÿ Àíÿ¨æ;ÿÀÿç†ÿ{ÜÿæB$æF > ¯ÿç ÿæÜÿ LÿÀÿç œÿ$# ÿæ ¾ë ÿLÿsç Ó¯ëÿ{¯ÿ{Áÿ üëÿàÿæüÿæZÿæ{ÀÿÓþß A†ÿç ÿæÜÿç†ÿ Lÿ{Àÿ, {†ÿ{¯ÿ Óæ™æÀÿ~{Àÿ ™æÀÿ~æ ÜëÿF {¾, F¾ë ÿLÿ {Lÿò~Óç ÷Lÿæ{Àÿ œÿçf Lÿþö LÿÀÿç æÀÿç ÿ œÿæÜÿ], ¯ÿç ÿæÜÿ ¨{ÀÿÓæóÓæÀÿçLÿ ’ÿæßç†ÿ´ Ó»æÁÿç ¨æÀÿç¯ÿ œÿæÜÿ] > þæ†ÿ÷ Óþß Aæ{Ó,{¾{†ÿ{¯ÿ{Áÿ FB ¾ë ÿLÿsç ÿç ÿæÜÿ LÿÀÿçÓæÀÿç ÿæ {Àÿ, †ÿæ'Àÿ ’ÿæ¸†ÿ¿fê¯ÿœÿ S{Þ, ÓæóÓæÀÿçLÿ ’ÿæßç†ÿ Ó»æ{Áÿ, ¨Àÿç ÿæÀÿ Svÿœÿ Lÿ{Àÿ,{ÓBµÿÁÿç AœíÿÞæ ¾ë ÿ†ÿêsç, ÓæóÓæÀÿçLÿ jæœÿ ¯ÿç ÿf}†ÿ A¯ÿ×æ{Àÿ$æF > Óþß Aæ{Ó {¾{†ÿ{¯ÿ{Áÿ {Ó ’ÿæ¸†ÿ¿ fê¯ÿœÿ{Àÿ f{~Óaÿæ SõÜÿç~ê µÿæ¯ÿ{Àÿ Óþß A†ÿç¯ÿæÜÿç†ÿ LÿÀÿç$æF > {¾ {Lÿò~Óçþ~çÌ {Lÿò~Óç Lÿ$æ fæ~ç œÿ$#{àÿ ¯ÿç, Óþß AæÓç ÿæ þæ{†ÿ÷ A{œÿLÿLÿ$æ Éçäæ Lÿ{Àÿ >

V-76 [Turn Over

[ 3 ][ 2 ]

III-UG-MIL(Alt.Eng)-II



1. a) Fill in the blanks by choosing the appropriate wordfrom the bracket. 4

i) Either he or his friends ______ (is/are)responsible for this.

ii) The oldman with his sons ______ (was/were)walking on the road.

iii) The police ______ (is/are) searching for thethief.

iv) He is good ______ (at/in) Mathematics.

b) Change the voice of the following : 4

i) His behaviour surprised me.

ii) I saw him cross the road.

iii) You must pay the dues immediately.

iv) When did he submit the application ?

V-77 [Turn Over

The Annual function of the students' union of yourcollege has been celebrated. Prepare a report to bepublished in a newspaper.

5. The Old Man and the Sea describes man's struggleagainst nature. Comment. 20

OR

Discuss the importance of the role of Manolin in TheOld Man and the Sea.

6. Sketch the character of Joe Keller. 20

OR

Justify the title of the play All My Sons.

V-77-0.3

[ 4 ]

c) Replace the words underlined by suitable phrasalverbs. 4

i) The result was published yesterday.

ii) I applied for the job, but my application wasrejected.

iii) The new collector assumed the chargeyesterday.

iv) They started the journey at six.

d) Change the following into indirect speech : 4

i) The man said to me, 'The village temple facessouth'.

ii) 'Do you know who has done it ?', said thepolice man to me.

iii) The boy said, 'I paid my fees in time'.

iv) He said to Rama, 'Congratulation'.

e) Punctuate the sentence given below : 4

By night or by day at home or abroad asleep orawake he is a constant source of anxiety to hisfather.

2. In response to an advertisement in the Times of India,write an application for the post of the marketingmanager of a reputed company. 10

OR

Define Biodata and Resume. Prepare your ownBiodata.

3. Edit the following passage : 15

newton had a little petdog named Diamond. Oneday,When he was Fifty year's old, he went out of His roomleaving his little dog asleep before the fire. For twentyyears he hard beed had at work, studying a very difficultand important subject. On the table lay a heap of paperson which he had written down all that he had fond outduring those twenty years. When his Master was gone,Little Diamond got up, jumped upon the table, andOverturned the lighted candle. The papers at ones cutfire and turned into asses.

4. Your locality has been severely affected by the recentflood. As the president of the youth club prepare areport. 15

OR

V-77 [Turn Over

[ 3 ][ 2 ]

III-UG-MIL(Hn)-II



1. H$) {H$Ýht Xmo AdVaUm| H$s gàg§J ì`m»`m H$s{OE : 12 × 2

i) _hmnwéf àË oH$ wJ Ho$ {bE Amdí`H$ M[aÌ Am¡a Zr{V-g§~ÝYr JwUm| H$mo AnZo OrdZ _| àYmZVm XoH$a CZHo$ AZw dH$m Z`m nmR> g_mO H$mo nT>mVm h¡ Ÿ& g_mO VWm ì`{º$`m|H$mo _mZ{gH$ ì`m{Y H$s {M{H$Ëgm Ho$ ê$n _| Cg {deofZr{V-g§~ÝYr JwU Ho$ {df` _| dh EH$ Z`r lÕm Am¡aM_ËH$manyU© ^mdZm CËnÞ H$aVm h¡ Ÿ&

ii) e{º$ na Z¡{VH$Vm H$m {Z §ÌU hmoZm Amdí`H$ h¡ Ÿ& `{X{dkmZ H$s e{º$`m| H$mo Iwbm N>mo‹S> {X`m OmE Vmo do {H$grH$m ^bm Zht H$a|Jr Ÿ& Aqhgm, Ë`mJ, gË`, H$éUm Am{XZr{V ±m hr Z¡{VH$ A§Hw$e ~ZH$a e{º$ H$mo {Z~©mY ~T>Zo goamoH$ gH$Vr h¢ Ÿ& CÝht go {dkmZ H$s e{º$`m| Ho$ Cn`moJ na{Z §ÌU hmo gH$Vm h¡ Ÿ&

iii) Zd dg§V Ho$ {Zambg ag {dVmZ _| A±JS>mVr hþB© AnZrdmg§Vr dëbar H$mo A{^Zd VéU _¥Xwb ß`ma go o§Q>Vm h¡V~ O¡go Bg R>w±R>o no‹S> _| ghgm g±mg >n‹S> >n‹S> OmVr h¡, Am¡a_¡Zo XoIm h¡ CgH$s EH${eam AmO ^r har h¡ Ÿ&

V-78 [Turn Over

iv) AmË_m AOa Am¡a A_a h¡ Ÿ& Cg_| AZÝV kmZ, e{º$ Am¡aAmZ§X H$m §S>ma h¡ Ÿ& AHo$bo kmZ H$hZm ^r n ©má hmo ogH$Vm h¡ Š`m| {H$ Ohm± kmZ hmoVm h¡ dht e{º$ hmoVr h¡ Am¡aOhm± kmZ Am¡a e{º$ hmoVo h¢ dht AmZÝX ^r hmoVm h¡ Ÿ&

I) {H$Ýht Xmo àíZm| Ho$ CÎma Xr{OE : 15 × 2

i) "M[aÌ H$m _mZ§XS>' {Z~§Y _| {Z~§YH$ma Ho$ {dMmam| H$moCëboI H$s{OE Ÿ&

ii) "Ry>±R>m Am_' {Z~§Y H$m à{VnmÚ ñnï> H$s{OE Ÿ&

iii) n{R>V {Z~§Y Ho$ AmYma na ^maVr` g§ñH¥${V H$s à_wI{deofVmAm| H$mo ñnï> H$s{OE Ÿ&

iv) "{ejm H$m CÔoí`' {Z~§Y _| {Z~§YH$ma Ho$ {ejm g§~§Yr{dMmam| na àH$me S>m{bE Ÿ&

2. {H$Ýht Xmo àíZm| Ho$ CÎma Xr{OE : 15 × 2

H$) ^mfm {H$go H$hVo h¢ ? ^mfm H$s n[a^mfm ñnï> H$aVo hþE CgHo$ñdê$n na {dMma H$s{OE Ÿ&

I) H$m ©mb`r ^mfm H$o ê$n _| qhXr H$m à`moJ H$aVo g_` {H$Z {H$Z~mVm| na Ü`mZ {X`m OmVm h¡, CëboI H$s{OE Ÿ&

J) {_{S>`m go Š`m A{^àm` h¡ ? {_{S>`m H$s ^mfm Ho$ ê$n _| qhXrHo$ à`moJ na EH$ boI V¡ ma H$s{OE Ÿ&

K) H$m ©mb`r ^mfm Ho$ ê$n _| qhXr H$s pñW{V H$s AmbmoMZmH$s{OE Ÿ&

3. qhXr _| AZwdmX H$s{OE : 16

Speed-breakers are meant for slowing up the trafficand helping in safety. But they often become hazardsthemselves. If they are not properly constructed andpainted white, during night time they are not visible todrivers. They come in speed and suddenly get viciousjerks. Often they lose control of their vehicles and meetwith accidents. Then again, road encroachement oftenmakes the roads and streets very narrow and naturallyhampers in free flow of traffic. This also very oftenresults in accident.

V-78-0.6

[ 3 ][ 2 ]

III-UG-Chem(El)-V



1. a) Show that for adiabatic expansion of an ideal gasPV

= constant. 6½

b) State and explain Hess's law of constant heatsummation. Discuss its application. 6

OR

c) Derive an expression for work done in isothermalreversible expansion of a gas. 6

d) Derive thermodynamically Kirchoff's equation. 6½

2. a) Derive an expression for entropy change of anideal gas and its specific heat at constant volumeand constant pressure. 8½

b) Calculate the entropy change involved in theisothermal reversible expansion of 5 moles of anideal gas from a volume of 10 litres to a volumeof 100 litres at 300 K. 4

OR

V-80 [Turn Over

c) How can you synthesize DDT ? Give its use. 3OR

d) Explain the reduction of nitrobenzene in acidic,alkaline and neutral medium. 7½

e) How is chlorobenzene formed from benzene ?Give its mechanism. 3

f) What happens when sodium phenoxide is heatedwith CO2 at 1200C under pressure and is thenfollowed by acidification ? 2

6. a) Write notes on : 4½+4i) Benzoin condensationii) Cannizzaro reaction.

b) Explain the effect of substituents on the basicityof aromatic amines. 4

ORc) What is mutarotation ? Explain it with

mechanism. 4½d) How can you convert : 3+3

i) D-arabinose to D-glucoseii) D-glucose to D-fructose.

e) How is benzene diazonium chloride obtained fromaniline ? 2

V-80-2.3

[ 4 ]

c) State and explain Carnot's theorem. 3½

d) Show that

i)T

G VP

ii)P

G ST 6

e) Calculate the amount of heat supplied to Carnot'scycle working between 373K and 298K if themaximum work obtained is 850 Joules. 3

3. a) Write IUPAC name of the following compounds :

i) 3 36Cr NH Cl

ii) 2K Ag CN

iii) 3 2 4 3K Al C O 3

b) Give the postulates of valence bond theoryof coordination compounds. What is itslimitations ? 6½

c) Discuss the formation and structure of [Fe(CN)6]3–

on the basis of VBT. 3

OR

d) Discuss the geometrical isomerism in squareplanar and octahedral complexes. 6

e) What are chelates ? Give examples. What are itsapplications ? 3½

f) Discuss the formation and structure of[Co(NH3)6]

3+ on the basis of VBT. 3

4. a) Why are lanthanides called inner transitionelements ? Write their electronic configuration. 4

b) Why do lanthanides commonly exhibit+3 oxidation state ? 3

c) Describe the extraction of lanthanides frommonazite sand. 5½

ORd) Write a note on lanthanide contraction. 7e) Explain why lanthanides have a poor tendency to

form complexes. 3f) Why is La(OH)3 more basic than Lu(OH)3 ? 2½

5. a) Define the term aromaticity. How is it relatedto Huckel's rule ? Illustrate with suitableexamples. 3½

b) Write notes on : 3+3

i) Sulfonation of benzene

ii) Fries rearrangement.

V-80 [Turn Over

[ 3 ][ 2 ]

III-UG-BBA(H)-III (Stat)



1. Define Sampling. Explain the different methods ofsampling. 3+11

OR

Draft a blank table showing the distribution of studentsof university according to

i) Sex

ii) Faculties - Arts, Science, Commerce and Law

iii) Four years - 2009, 2010, 2011, 2012

iv) Age Groups - Below 18 years, 18-21, and 21 yearand above. 14

2. Calculate Mean, Median and Mode from the followingdata : 14

Marks more than 0 20 40 60 80 100 120

No. of students 80 76 50 28 18 9 3

OR

V-81 [Turn Over

From the following information given to you, can itbe concluded that the distribution is platykurtic :

N = 100, fdx = 50, fdx2 = 1967.2

fdx3 = 2925.8, fdx4 = 86650.2 14

3. From the following information calculate line ofregression of y on x : 14

x y

Mean 40 60

Standard Deviation (SD) 10 15

Correlation Coefficient (r) = 0.7

OR

Calcultate weighted Index Number for 2013 byweighted Aggregative method and weighted averageof Relative Method, from the following table : 14

Item Quantity Price in 2011 Price in 2012Units ` `

Bricks 10 100 161Timber 7 200 210Boards 15 50 60Sand 9 20 30Cement 10 10 14

4. Explain the process of determining trend by usingmoving average method. 14

OR

Fit a parabolic trend to the following time-series dataand estimate the production in 2013. 14

Year 2006 2007 2008 2009 2010 2011 2012Production 42 49 62 75 92 122 158

5. A bag contains 5 white and 8 red balls. Two drawingsof 3 balls are made such that

a) the balls are replaced before the second trial, and

b) the balls are not replaced before the second trial.

Find the probability the first drawing will give 3 whiteand the second 3 red balls in each case. 14

OR

a) Define independent and mutually exclusiveevents. 7

b) State and prove the addition and multiplicationtheorems of probability. 7

V-81-1

[ 3 ][ 2 ]

III-UG-Com(H)-III (CORA)

2013Full Marks - 80

Time - 3 Hours

The questions are of equal value

Answer all questions

1. Journalise the following transactions at the time of issueand redemption of debentures :

a) A company issued `90,000, 13% debentures at adiscount of 10%, redeemable at par.

b) A company issued 90,000, 13% debentures at parredeemable at 10% premium.

c) A company issued `90,000, 13% debentures at adiscount of 10% and redeemable at 5% premium.

The face value of debenture is `100.

OR

Sahu Ltd. has 12% Redeemable preference sharecapital of `2,00,000 consisting of 100 each share fully

V-82 [Turn Over

paid up. The company wants to redeem these shares at10% premium. The ledger accounts show the followingbalances :

P/L A/c `40,000, Securities premium `8,000.

The Directors desire to make a minimum freshissue of equity shares of `10 each at 5% premium forredemption of preference shares. You are required toascertain the amount of such fresh issue to be made bythe directors and pass necessary journal entriesregarding fresh issue and redemption of preferenceshares.

2. Prepare the Balance Sheet of a company as perSchedule VI of the Companies Act with imaginaryfigures.

OR

The Articles of Association of K Ltd. provide thefollowing :

a) That 20% of the net profit of each year shall betransferred to reserve fund.

[ 2 ]

b) That an amount equal to 10% of equity dividendshall be set aside for staff bonus.

c) That the balance available for distribution shallbe applied :

i) in paying 14% on cumulative preferenceshares

ii) in paying 20% dividend on equity shares

iii) One-third of the balance available asadditional dividend on preference shares and2/3 as additional equity dividend.

A further condition was imposed by the articles VIZ,that the balance carried forward shall be equal to 12%on preference shares after making provisions (i), (ii)and (iii) mentioned above. The company has issued13,000, 14% cumulative participating preferenceshares of `100 each fully paid and 70,000 equity sharesof `10 each fully paid up.

The profit for the year ended 31st March, 2012was `10,00,000 and balance brought from previousyear `80,000. Provide `31,200 for depreciation and`80,00 for taxation before making other appropriations.Prepare Profit and Loss A/c.

[ 3 ]

3. Give clearly the difference between amalgamation inthe nature of merger and amalgamation in the natureof purchase.

OR

The Balance Sheet of a private company stood asfollows on 31.3.2010.

Balance SheetLiabilities ` Assets `

19,000 shares of Land and Buildings 1,00,000`100 each 19,00,000 Machinery 2,60,000

Creditors 1,00,000 Furniture 20,000

Debentures 1,00,000 Stock 3,70,000Debtors 1,80,000

Goodwill 2,00,000

Profit & Loss A/c. 9,70,000

21,00,000 21,00,000

The company is to be reconstructed as follows :

a) Shares of `100 are to be reduced to an equalnumber of fully paid shares of `40 each.

b) To issue 1,000 new shares of `40 each as fullypaid up to debenture holders in full settlement.

c) The amount available is to be utilised in writingoff the goodwill and P/L A/c and the balance inwriting down the value of machinery.

d) Authorised capital of the company is 20,000 sharesof `100 each.

Give the necessary Journal Entries. PrepareCapital Reduction Account and Reconstructed BalanceSheet.

4. From the following particulars, calculate the value ofan equity share :

2000, 9% preference sharesof `100 each. `2,00,000

50,000 Equity shares of `10 each,`8 per share paid up `4,00,000

Expected profit per year before tax `2,18,000

Rate of tax 40%

Transfer to general reserve every year 20% of profit

Normal rate of earning 15%

OR

[ 4 ] [ 5 ]

V-82 [Turn Over

[ 6 ]

Give a proforma of liquidator's final statement ofaccount with imaginary figures.

5. On 31st March 2012 the Balance Sheets of H Ltd. andits subsidiary S Ltd. stood as follows :

Liabilities H.Ltd. S.Ltd. Assets H.Ltd. SLtd.

` ` ` `

Equity share capital 8,00,000 2,00,000 Fixed Assets 5,50,000 1,00,000

General Reserve 1,50,000 70,000 75% shares in

Profit & Loss A/c. 90,000 55,000S. Ltd.(at cost) 2,80,000 --

Creditors 1,20,000 80,000 Stock 1,05,000 1,77,000

Other Current Assets 2,25,000 1,28,000

11,60,000 4,05,000 11,60,000 4,05,000

Draw a consolidated Balance Sheet as at 31st March2012 after taking into consideration the followinginformation :

i) H Ltd. acquired the shares on 31st July, 2011.

ii) S Ltd. earned a profit of 45,000 for the year ended31st March 2012.

OR

[ 7 ]

a) Distinguish between funds flow statement andbalance sheet.

b) Classify cash flows as per AccountingStandard-3.

V-82-4

III-UG-Eco(EL)-III



1. Explain various indicators of economic development.Which one do you prefer to be the best one and why ?

OR

Examine various causes of growing unemployment inIndia and analyse National Rural EmploymentGuarantee Scheme (NREGA) as an anti-unemploymentprogramme.

2. Write a note on various methods of national incomeestimation in India.

OR

Define Poverty line. Explain various measures adoptedby Government of India to remove poverty.

3. Account for low rate of saving in India. Suggestremedial measures.

OR

V-83 [Turn Over

Critically examine the role of foreign aid in India'seconomic development.

4. Discuss the role of public sector in the developmentprocess of Indian economy.

OR

What do you mean by appropriate technology ? Whichtechnology do you suggest to be the appropriatetechnology for India ?

5. Discuss the problems and prospects of economicdevelopment of Odisha.

OR

Write a brief note on the changing composition anddirection of foreign trade in India after 1991.

V-83-0.8

[ 2 ]

III-UG-Hist(EL)-III



1. Give a note on Anglo-French Wars.

OR

Discuss the causes and results of the Battle of Buxar.

2. Describe the third and fourth Anglo-Mysore wars.

OR

What is Subsidiary Alliance ? Write its merits anddemerits.

3. Explain the administrative reforms of Cornwallis.

OR

Analyse the Social and Educational reforms ofDalhousie.

4. Discuss the causes of the Great Indian Revolt of 1857.

OR

Discuss the causes for the growth of Indian Nationalism.

V-84 [Turn Over

5. Describe the activities of Indian National Congressfrom 1885-1905.

OR

Give an account of the Non-cooperation Movement

V-84-0.8

[ 2 ]

III-UG-Pol.Sc(EL)-III



1. Discuss the role of conventions in the Britishconstitutional system. Why are they obeyed ?

OR

Critically examine the organisation and functions ofthe British Cabinet.

2. Describe the salient features of the AmericanConstitution.

OR

Discuss the composition and functions of the AmericanSenate.

3. Describe the composition and functions of the SwissFederal Assembly.

OR

Critically examine the working of Direct Democracyin Switzerland.

V-85 [Turn Over

4. Discuss the salient features of the Chinese Constitution.

OR

Describe the composition and functions of the StateCouncil of the People's Republic of China.

5. Critically examine the working of party system in theU.K.

OR

Discuss the role of Communist Party in China.

V-85-1.8

[ 2 ]

III-UG-Phil(EL)-III



1. Explain the different theories of meaning.

OR

How do the words of a language become vague ? Isvagueness a pervasive feature of language ?

2. What is Ostensive Definition ? Are there words thatcan be defined only ostensively ?

OR

What is a concept ? Are all concepts based onexperience ?

3. Explain what are the criteria for sentence meaning.

OR

Explain the views of truth as correspondence and ascoherence.

V-86 [Turn Over

4. What is an Analytic proposition. What are theobjections to the analytic-synthetic distinction.

OR

Explain the different kinds of possibility. Is it logicallypossible for a cat to give birth to pups ? Examine.

5. What are metaphysical problems ? Give an estimateof the problem of substance.

OR

Give a comparative view of Plato's theory of universalsand Aristotle's theory of universals.

V-86-1

[ 2 ]

III-UG-Odia(EL)-III(Reg/Back)



1. Lÿ) "µÿæÀÿ†ÿêß Aæ¾ö¿ Óµÿ¿†ÿæ H ÓóÔõÿ†ÿç' ÷ ÿ¤ÿ AœëÿÓÀÿ~{Àÿ{àÿQLÿêß µÿæ¯ÿ™æÀÿæ ¯ÿç{ÉÈÌ~ LÿÀÿ > 20

A$¯ÿæ"’ÿB¯ÿ ’ÿDÝç' ÷ ÿ¤ÿ{Àÿ ’ÿB¯ÿÀÿ {É÷Ï†ÿ Lÿç Àÿç ÷†ÿç æ’ÿç†ÿ{ÜÿæBdç Aæ{àÿæ`ÿœÿæ LÿÀÿ >

Q) ÓÀÿÁÿæ$ö {àÿQ : 5{ÀÿæSÀÿ þíÁÿ ¯ÿçœÿÎ œÿ {Üÿ{àÿ F µÿæ¯ÿ ¨Àÿç ÿˆÿ}†ÿ {Üÿ¯ÿæÀÿAæÉæ œÿæÜÿ] >

A$¯ÿæœÿçf œÿæôsæLëÿ {Qæàÿæ{Qæàÿç ÓþÖZÿ AæS{Àÿ œÿç…Óó{Lÿæ`ÿ µÿæ{¯ÿLÿÜÿçàÿæ µÿÁÿç ÓæÜÿÓ œÿ$#{àÿ þ~çÌÀÿ þœÿ {àÿæ`ÿæ ™Àÿç¾æF >

2. Lÿ) FLÿ ÷†ÿêLÿæŠLÿ SÅÿ µÿæ¯ÿ{Àÿ "Hs'Àÿ þíàÿ¿æßœÿ LÿÀÿ > 20A$¯ÿæ

"¯ëÿÞæ É\ÿæÀÿê' SÅÿ þæšþ{Àÿ SæÅÿçLÿ ¯ÿæûàÿ¿ {Ó§Üÿ Lÿç Àÿç÷LÿæÉ LÿÀÿçd;ÿç, D{àÿÈQ LÿÀÿ >

V-88 [Turn Over

Q) ÓÀÿÁÿæ$ö {àÿQ :

"{¯ÿæÜíÿ ÓæAæ;ÿæ~êF ! Aæbÿæ ¯ëÿÞæ ëAsçF ¨æB{àÿ FLÿæ,Lÿ¨æÁÿ †ÿ !! 5

A$¯ÿæ

{¾Dô {SòÀÿ¯ÿ ¯ÿêÀÿÀÿ ÷æ¨¿, †ÿæLëÿ àëÿ=ÿœÿ LÿÀÿç {œÿB¾ç{¯ÿÓë ÿç™æ¯ÿæ’ÿêþæ{œÿ >

3. Lÿ) "dþæ~ AævÿSë=ÿ' D¨œÿ¿æÓ{Àÿ ÷†ÿçüÿÁÿç†ÿ †ÿ‡æÁÿêœÿ Óþæf`ÿç†ÿ÷ ÷’ÿæœÿ LÿÀÿ > 20

A$¯ÿæ

"`ÿó¨æ H ÓæAæ;ÿæ~ê ’ëÿBsç ¯ÿç Àÿê†ÿþëQê œÿæÀÿê `ÿÀÿç†ÿ÷' -Aæ{àÿæ`ÿœÿæ LÿÀÿ >

Q) "¨Àÿfæ' D¨œÿ¿æÓ µÿç ÿ ç{Àÿ þæƒçAæ fæœÿçÀÿ `ÿÀÿç†ÿ÷ `ÿ ç†ÿ ÷~LÿÀÿ > 20

A$¯ÿæ

Aæ’ÿç ÿæÓê œÿæÀÿê `ÿÀÿç†ÿ÷ SëÝçLÿÀÿ ¯ÿç ÿç™†ÿæ ¯ÿ‚ÿöœÿæ LÿÀÿ >

4. ÷ ÿ¤ÿÀÿ Óójæ, ÓÀíÿ¨ H ÷LÿæÀÿ{µÿ’ÿ ’ÿÉöæA > 10

A$¯ÿæ

D¨œÿ¿æÓÀÿ Óójæ, ÓÀíÿ¨ H ÷LÿæÀÿ{µÿ’ÿ {àÿQ >

V-88-0.8

[ 2 ]

III-UG-Edn(EÌ)-III



1. What is Measurement ? Distinguish betweenmeasurement and evaluation. 4+16

OR

Describe different scales of measurement withexamples. 20

2. What is meant by objective type test ? Make acomparision between essay type test and objective typetest. 4+16

OR

Discuss the steps to be followed for construction of atest. 20

3. Describe different characteristics of a good test. 20

OR

Explain different methods for estimating the reliabilityof a test. 20

V-92 [Turn Over

4. What is Correlation ? Discuss different types ofcorrelation. 4+16

OR

What is normal probability curve ? State itscharacteristics and application. 4+16

5. Enumerate the defects in the present evaluation systemand suggest for improvement. 10+10

OR

Explain the improvement dimensions of modernEvaluation system. 20

V-92-0.8

[ 2 ]

III-UG-Soc(EL)-III



1. Define tribe. Examine the relationship between tribeand caste.

OR

Discuss the distribution of tribal people in India.

2. Explain the racial diversity of tribals in India.

OR

Give an account of life style of pastoral people of India.

3. Analyse the classification of tribal family.

OR

Define tribal marriage and discuss its classification.

4. Evaluate the status of women in tribal societies.

OR

V-87 [Turn Over

Explain the status of tribal women from the economicpoint of view.

5. Give a detail description of primitive tribal groups ofOdisha.

OR

Critically examine the changes found among the tribalsof Odisha.

V-87-0.6

[ 2 ]

III-PG-Math-XIV (OC)



or {(c),(d)} from each questionThe symbols used have their usual meaning

1. a) Use two-phase simplex method toMaximize z = x1 + 2x2 + 3x3

subject to : x1 – x2 + x3 4, x1 + x2 + 2x3 8, x1 – x3 2, x1, x2 x3 0. 9

b) Consider the L.P.P. :Maximize z = 3x1 + 5x2 + 4x3 subject to theconstraints : 2x2 + 3x3 8, 2x2 + 5x3 10,3x1 + 2x2 + 4x3 15, x1, x2 x3 0.Find the ranges over which c3, c4 and b2 can bechanged maintaining the optimality of the currentsolution. 8

ORc) Use dual simplex method to solve the L.P.P. : 9

Minimize z = 10x1 + 6x2 + 2x3 subject to theconstraints : –x1 + x2 + x3 1, 3x1 + x2 – x3 2,x2, x2, x3 0.

V-69(A) [Turn Over

[ 4 ]

Monthly warehouse requirements are 400, 400,500, 400, and 800 units respectively.Unit transportation costs (in rupees) are givenbelow :

ToD E F G H

A 5 8 6 6 3From B 4 7 7 6 5

C 8 4 6 6 4

Determine an optimal distribution for the companyin order to minimize the total transportation cost.

d) Solve the following travelling salesman problemso as to minimize the cost per cycle. 8

From ToA B C D E

A -- 3 6 2 3B 3 -- 5 2 3C 6 5 -- 6 4D 2 2 6 -- 6E 3 3 4 6 --

V-69(A)-0.2

d) Solve the following system of linear equations,using simplex method : 8

x1 + 2x2 + 3x3 = 15

2x1 + x2 + 5x3 = 20

x1 + 2x2 + x3 + x4 = 10.

2. a) Solve the following L.P.P. : 9

Maximize z = 2x1 + 3x2 : subject to : –3x1 + 7x2 14,7x1 – 3x2 14 ; x1, x2 0 and are integers.

b) Use simplex method to solve the following goalprogramming problem : 8

Minimize 1 1 2 2 2 2 3 1p d p d 2p d p d

subject to the constraints :

1 2 1 1 1 210x 10x d d 400,x d 40,

2 3 1 2 1 1 2 3x d 30; x ,x ,d ,d ,d ,d 0.

OR

c) Use revised simplex method to solve the followingL.P.P. : 9

Minimize z = 2x1 + x2 : subject to the constraints :3x1 + x2 3, 4x1 + 3x2 6, x1 + 2x2 2; x1, x2 0.

V-69(A) [Turn Over

[ 3 ][ 2 ]

d) Solve the following mixed-integer programmingproblem, using Gomory's cutting plane method :Maximize z = 7x1 + 9x2

subject to the constraints : –x1 + 3x2 6, 7x1 + x2 35; x1 x2 0 and x1 is an integer. 8

3. a) Solve the following transportation problem : 8

Origin Destination AvailabilityD1 D2 D3 D4

01 1 2 1 4 3002 3 3 2 1 5003 4 2 5 9 20

Requirement 20 40 30 10

b) Solve the assignment problem : 8

A B C DI 1 4 6 3II 9 7 10 9III 4 5 11 7IV 8 7 8 5

OR

c) A company has three plants at locations A, B andC which supply to warehouses located at D, E, F,G and H. Monthly plant capacities are 800, 500and 900 units respectively.

III-PG-Math-XV (OC)




1. a) If l/m is the immediate successor of h/k in the Fareysequence Fn, then show that Kl – hm = 1. 9

b) i) Show that Euler 's function ismultiplicative. 4

ii) If (a, m) = 1,

then show that a(m) 1 mod (m). 4

OR

c) Show that the congruence

a0xn + a1x

n–1 + .... + an 0 (mod p), (a0, p) = 1 hasatmost n solutions. 9

d) i) If a | bc, and (a, b) = 1, then show that a|c. 4ii) If N > 1, then show that no two successive

fractions in FN have the same denominator. 4

V-74(A) [Turn Over

ii) If m and n are non-zero integers, then showthat

i 1 |mn| sgn mn41 1g m, n e g n,m

| n | | m |

where sgn rr | r | if r 0 and sgn r = 0 if

r = 0. 5

V-74(A)-0.2

[ 4 ]

2. a) Let is irrational, and N a positive integer, thenprove that there exists a rational number h/k, with

k N, such that h 1 .k k N 1

9

b) i) Suppose p is an odd prime, and a is any integer.Then show that

12 p 1a 1 modp

if and only if a is a quadratic residuemodulo p. 4

ii) If p is an odd prime, then show that there existintegers x and y such that

1 + x2 + y2 = mp, where 0 < m < p. 4

OR

c) If is irrational, then prove that there existinfinitely many irreducible fractions h/k such that

2h 1k 2k

. 9

d) i) Prove that there exists infinitely many primesof the form 4k – 1. 4

ii) Prove that every prime of the form 4k + 1 isrepresentable as a sum of two squares. 4

3. a) If p is an odd prime, then show that

2p 18

2 1p

. 6

b) i) Show that the divisor function d(n) ismultiplicative. 5

ii) For every > 0, show that there exists asequence of integers ni for which

i

i

d n, as i .

log n 5

OR

c) If f is a function defined for x 1, and

n x

xg x f ,n

then show that

n x

xf x n g , for x 1n

and conversely. 6

d) i) Evaluate 12703 .16361 5

V-74(A) [Turn Over

[ 3 ][ 2 ]

III-UG-Sans(EL)-III



1. _oK{Xem C‚m{`ZrdU©Z§ Hw$éVŸ & 20

AWdm

"Cn_m H$m{bXmgñ`'-BË wºo$… `mWmÏ ª nyd©_oK_dbåã` à{VnmX`V Ÿ&

2. gàg“§ ì`m»`mV : 10

OmV§ d§eo wdZ{d{XVo nwîH$amdV©H$mZm§OmZm{_ Ëdm àH¥${Vnwéf§ H$m_ê$n§ _KmoZ… Ÿ&

VoZm{W©Ëd§ Ëd{` {d{YdemX² Xya~ÝYwJ©Vmo@h§`mÀÄmm _moKm da_{YJwUo ZmY_o bãYH$m_m Ÿ&

AWdm

Vñ`mpñVº¡$d©ZJO_X¡d©m{gV§ dmÝVd¥{ï>-O©å~wHw$ÄOà{VhVa § Vmo _mXm` JÀN>o… Ÿ&

AÝV…gma§ KZ Vwb{`Vw§ Zm{Zb… eú`{VËdm§[aº$… gdm} ^d{V {h bKw… nyU©Vm Jm¡adm` Ÿ&&

V-89 [Turn Over

3. g§jonoU Ì`mUm§ àíZmZm_wÎma§ {bIV : 6 × 3

H$) Z^{g Ho$ H$W§ _oKñ` _hm`m ^{dî`pÝV ?

I) _hmH$mbm_mgmÚ _oK… qH$ H$[aî`{V ?

J) Xod{J{V… H$W§ à{gÕ… ?

K) `j… H$pñ_ÞÐm¡ H$sXe§ _oK§ XXe© ?

L>) {Z{d©ÝÜ`m`m {dahmdñWm§ V{ÞamH$aU§ dU© V Ÿ&

4. H$) {ÛVr`àíZpñWVof w AYmo{b{IVofw Û`m o… gH$maU§ {d^qº${Zê$n`V : 2 × 2

d§eo, _KmoZ…, KZ, Vmo _², Jm¡adm` Ÿ&

I) Ì`mUm§ àH$¥qV àË` § M {bIV : 1 × 3

OmV_², AmXm`, Vwb{`Vw_², _moKm, nyU©Vm, A{W©Ëd_² Ÿ&

5. JrVmoº${Xem pñWVàkñ` ñdê$n§ dU© V Ÿ& 15

AWdm

ñdY_©{df o lrH¥$îUñ` CnXoeOmV§ gmoXmhaU à{VnmX`V Ÿ&

6. gàg“§ ì`m»`m H$m ©m : 10

Z¡Z§ {N>ÝXpÝV eóm{U Z¡Z§ Xh{V nmdH$… Ÿ&Z M¡Z§ ŠboX`ÝË`mnmo Z emof`{V _méV… Ÿ&&

AWdm

H$_©Ê odm{YH$mañVo _m \$bofw H$XmMZ Ÿ&_m H$_©\$bhoVw y©_m© Vo g“mo@ñËdH$_©{U Ÿ&&

7. MVwU©m_² Ab‘>mamUm§ bjU_² CXmhaU#m àXÎm : 5 × 4

i) Cn_m

ii) AZwàmg…

iii) {d^mdZm

iv) M_H$_²

v) CËàojm

vi) A{Ve`mo{º$… Ÿ&

V-89-1.5

[ 3 ][ 2 ]

III-UG-Hn(EL)-III(Back)



1. ZrMo {bIo àíZm| Ho$ CËÎma Xr{OE : 16 × 2

H$) h_mao d¡km{ZH$ wJ H$s à_wI g_ñ`mAm| H$m dU©Z H$s{OE Ÿ&

AWdm

"AemoH$ Ho$ \y$b' {Z~§Y H$m à{VnmÚ ñnï> H$s{OE Ÿ&

I) "H$_© y{_' CnÝ`mg Ho$ CÔoí` Am¡a g§Xoe H$mo ñnï> H$s{OE Ÿ&

AWdm

"H$_© y{_' CnÝ`mg H$s H$WmdñVw H$m {ddoMZ H$s{OE Ÿ&

2. gàg§J ì`m»`m H$s{OE : 10 × 2

H$) lÕm Ý`m` ~w{Õ Ho$ nb‹S>o na Vwbr hþB© EH$ dñVw h¡ Omo Xygaonb‹S>o na aŠIo hþE lÕo Ho$ JwU H$_© Am{X Ho$ {hgm~ go hmoVrh¡ Ÿ& lÕm gËH$_© `m gXJwU hr H$m _yë` h¡ {Oggo Am¡a {H$gràH$ma H$m gm¡Xm Zht hmo gH$Vm Ÿ&

AWdm

V-140 [Turn Over

h_| Vw_go Hw$N> Zht Mm{hEŸ& `m{V O¡go ñdmWu h_ Zht h¢ OmonwÌ H$r OdmZr boH$a wdm hmo J`m WmŸ& ~mb H$o gmW, CgZo _w±h^r H$mbm H$a {b`mŸ&

I)Vw_ VZ-_Z go Xygam| H$s godm H$aVo hmo ; na Vw_ Jwbm_ hmoŸ&Vwåhmam g_mO _| H$moB© ñWmZ ZhtŸ& Vw_ g_mO H$s ~w{Z`mXhmoŸ& _wåhmao hr D$na g_mO I‹S>m h¡, na Vw_ ANy>V hmoŸ&

AWdm

g§gma H$mo nwéfm{W© m| Zo hr moJm h¡ Am¡a h_oem moJo§JoŸ& Ë mJJwhñWm| Ho$ {bE Zht, gÝ m{g`m| Ho$ {bE h¡Ÿ& AJa Vwåh| Ë mJd«VboZm Wm Vmo {ddmh H$aZo H$s OéaV Z Wr, {ga _w±S>mH$a {H$grgmYw-g§V Ho$ Mobo ~Z OmVoŸ&

3."AmH$meXrn' H$hmZr Ho$ AmYma na M§nm H$m M[aÌ-{MÌUH$s{OEŸ&18

AWdm

H$hmZr-H$bm Ho$ AmYma na "dmngr' H$hmZr H$s g_rjm H$s{OEŸ&

4.{H$Ýht Mma àíZm| Ho$ g§{já CÎma Xr{OE :5 × 4

H$)AnZm nhbm g\o$X ~mb XoIH$a nagmB© Or H$mo H¡$gm bJm?

I)" {X ào_ ñdßZ h¡ Vmo lÕm OmJaU h¡Ÿ&' - BgH$m Ame` ñnï>H$s{OEŸ&

J)"H$_© y{_' Ho$ H$WmZH$ _| _wÞr H$s y{_H$m ñnï> H$s{OEŸ&

K)adrÝÐZmW Zo maVdf© H$mo "_hm_mZd g_wÐ' Š`m| H$hm h¡?

L>)JOmYa ~m~y AnZo n[adma _| Š`m| In Zht gHo$?

M)"H$_© y{_' CnÝ mg _| {M{ÌV VËH$mbrZ amOZ¡{VH$ OrdZ H$mg§{já n[aM` Xr{OEŸ&

5.{ZåZ{b{IV àíZm| Ho$ A{V g§{já CÎma Xr{OE :1 × 10

H$)Xoe {d^mOZ na enmb Zo H$m¡Z gm CnÝ mg {bIm Wm?

I)"{Xì m' CnÝ mg {H$gH$s aMZm h¡?

J)enmb Ho$ nhbm CnÝ mg H$m Zm_ Š`m h¡?

K)enmb Or H$m OÝ_ H$~ hþAm Wm?

L>)"{Zambm' H$m nyam Zm_ Š`m h¡?

M)"{Zambm' H$m OÝ_ H$hm± hþAm Wm?

N>)"{Zê$n_m' CnÝ mg {H$gZo {bIm Wm?

O)enmb Ho$ A{YH$m§e CnÝ mg {H$g _VdmX Ho$ qMVZ naAmYm[aV h¡?

P)"{Zambm' Ho$ "AbH$m' CnÝgmg Ho$ Zm H$ H$m Zm_ {b{IEŸ&

Äm)H$~ {Zamb Or H$s ñdU© O`§Vr H$mer _| _ZmB© JB© Wr?

V-140-0.1

[ 3 ] [ 2 ]

III-UG-Psy(EL)-III



1. Draw a Frequency Polygon for the distribution givenbelow. Superimpose a Histogram upon the FrequencyPolygon using the same axes.

Scores Frequency55 - 59 250 - 54 3

45 - 49 440 - 44 635 - 39 9

30 -34 1125 - 29 8

20 - 24 415 - 19 210 - 14 1

N = 50

OR

V-93 [Turn Over

Compute the Mode for the distribution of scoresgiven in Q.No.1. Mention the specific uses of Mode.

2. What is Variability ? Find out the Standard Deviationfor the distribution of scores given in Q.No.1.

OR

What do you mean by Percentile ? Calculate P25, P35

and P60 from the distribution given in Q.No.1.

3. What is "Coefficient of Correlation" ? The marks of10 students in Psychology and Education are givenbelow. Using Product Moment Method find out thecoefficient of correlation between the two sets of scoresand interprete the finding.

Students A B C D E F G H I J

Psychology 52 54 60 45 62 64 60 40 58 60

Education 55 60 62 48 58 65 68 42 55 67

OR

What is meant by Normal Probability Curve ? DiscussSkewness and Kurtosis as deviations of NormalProbability Curve.

4. Define 'Chi-Square'. Discuss the procedures ofChi-squre testing and explain. Why it is known as aTest of Independence.

OR

Distinguish between :

a) Descriptive and Inferential Statistics

b) Random and Quota Sampling.

5. In a reasoning test 10 boys and 8 girls made such scoreswhose means and SDs are given below.

Group Means SDs N

Boys 36 3.7 10

Girls 34 3.8 8

Is the mean difference of above two samplessignificant ? Apply 't' test and find out.

OR

What is Validity of a Test ? Describe the various typesof test validity and point out their merits andlimitations.

V-93-0.7

[ 3 ][ 2 ]

III-UG-Com(EL)-III (CA)

2013Full Marks - 100

Time - 3 Hours

The figures in the right-hand margin indicate marks


1. What is Cost Accounting ? In what essentialrespects does cost accounting differ from financialaccounting ? 5+15

OR

Two components A and B are used in a company inproducing its products as follows :

Maxmum usage - 750 units per week each

Normal usage - 500 units per week each

Minimum usage - 250 units per week each

Re-order period - A : 4 to 6 weeks

B : 2 to 4 weeks.

V-97 [Turn Over

You are required to calculate for each component :

a) Re-order level

b) Minimum level

c) Maximum level

d) Average stock level. 20

2. What is abnormal idle time ? How is it caused ?What should be the treatment of abnormal idle timecost ? 4+8+8

OR

A job can be completed in 15 hours by an averageworker. A worker named Sohan completed the job in10 hours The basic time rate is `20 per hour. You arerequired to calculate the gross wages of Sohan underthe following three methods : 6+7+7

a) Time wage system

b) Halsey Plan

c) Rowan Plan.

[ 2 ]

3. What do you understand by under-over aborption ofoverheads ? When do they arise ? State how do youdeal with them in Cost Accounts. 6+4+10

OR

From the details furnished below, calculate the machinehour rate :

Per annum(`)

Rent of the department (space occupiedby machine 1/5 of the department) 780

Lighting (number of men in the department12, two men engaged on this machine) 288

Insurance 36

Cotton waste and oil 60

Salary of foreman (1/4th of the foreman'stime is occupied by this machine and theremainder equally by other two machines) 6000

The cost of this machine `92,000 and it has anestimated scrap value of `2,000.

V-97 [Turn Over

[ 3 ]

It is ascertained from the past experience that :

a) the machine will work for 1800 hours per annum.

b) it will incur an expenditure of `2050 in respectof repairs and maintenance.

c) it consumes 5 units of power per hour at the costof 10 paise per unit.

d) the working life of the machine is estimated to be18000 hours. 20

4. The following is a summary of the entries in a contractledger as on 31st March 2013 in respect of ContractNo.234 :

(`)

Materials (direct) 3,00,000

Materials from stores 65,000

Wages 1,72,100

Direct Expenses 67,100

Establishment Charges 80,000

Plant 3,42,000

Sale of scrap 18,200

Sub-contract costs 72,100

You are required to prepare the contract accountshowing the profit or loss to be taken into account forthe year ended 31st March, 2013 after considering thefollowing information :

a) Accruals on 31.3.2013 are wages 8000 and directexpenses 11,200.

b) Depreciation on plant upto 31.3.2013 is `85,500.

c) Included in the above summary of entries arewages `10,000 and direct expenses 15,000 sincecertification. The value of materials used sincecertification is `20,800.

d) Material on site on 31.3.2013 cost `1,00,000.

e) `6,25,000 had been certified upto March 2013 and3/8th of the contract remained uncompleted.

f) The total contract price is `10,00,000. 20

OR

Define and explain the terms 'Joint Products' and'By-products'. Enumerate the methods which may beemployed in costing 'Joint Products'. 8+12

[ 4 ] [ 5 ]

V-97 [Turn Over

[ 6 ]

5. What do you understand by 'integral accountingsystem' ? State its features and advantages. 5+15

OR

The profit as per Cost Accounts is `2,65,300. Thefollowing details are ascertained on comparision ofCost Accounts and Financial Accounts.

Cost FinancialAccounts Accounts

(`) (`)

a) Opening Stocks

Materials 32,600 33,000

Work-in-Progress 20,000 21,000

b) Closing stocks

Materials 36,000 34,400

Work-in-Progress 16,000 15,200

c) Interest remitted but ignored in Cost Accounts`800.

d) Interest charged but not considered in FinancialAccounts `6,000.

[ 7 ]

e) Preliminary expenses written off `13,000

f) Overhead expenses charged in Financial Accountsis `1,21,200 but overhead recovered in CostAccounts is `1,26,000.

You are required to find out the profit as perFinancial Accounts by drawing up a ReconciliationStatement. 20

V-97-4

III-UG-Zool(EL)-V



Give labelled diagram wherever necessary

1. Describe the structural features and affinities ofSphenodon.

OR


a) Origin of amphibia

b) Diapsida

c) Heart of Scoliodon.

2. Give an account of flight adaptation on birds.

OR


a) Air Sac

b) Prototheria

c) Metatheria.

V-95 [Turn Over

3. Describe the structural organisation of epithelial tissue.

OR


a) Neuron

b) Striated Muscle

c) Connective tissue proper.

4. Describe the structure and functions of thyroid gland.

OR


a) Adaptive immunity

b) Neurohypophysis

c) Steroid hormone action.

5. Describe modern trends in taxonomy.

OR


a) Standard deviation

b) Fequency Polygon

c) Mean, Median, Mode.

V-95-0.8

[ 2 ]

III-UG-Math(EL)-III (Arts/Sc)




1. Show that the function f, where

2 2

2 2

xy , x y 0f x,y x y

0 , x y 0

is continuous, possesses partial derivatives but is notdifferentiable at the origin. 10

OR

If x = u cos – v sin and y = u sin + v cos , whereis a constant, show that

22 2 2v v v vx y u

10

V-94 [Turn Over

2. If 22 2

2 2 2yx z 1,

a b c then show that the maximum

value of xyz is abc 3 3. 10

OR

Expand x4 + x2y2 – y4 about the point (1, 1) upto termsof the second degree. Find the form of R2. 10

3. i) If ˆ ˆ ˆr cos st i a sin t j at tan k,

find 2

2dr d r .dt dt

5

ii) Show that div curl u 0.

5

OR

i) If u and v are irrotational fields, show that thefield u v

is solenoidal. 5

ii) Show that curl u v udiv v vdivu

v u u v

5

[ 2 ]

4. Evaluate 2 2C

ˆ ˆyi xjF dr, where F ,x y

and c is

i) the circular path x2 +y2 = 1,

ii) the square formed by the lines

x 1, y 1. 10

OR

If 2ˆ ˆ ˆF 4xzi y j yzk,

evaluate S

ˆF n ds,

where

S is surface of the cube bounded by x = 0, x = 1, y = 0,y = 1, z = 0, z = 1. 10

5. Apply Gauss' theorem to evaluate S

ˆF nds,

where ˆ ˆ ˆF 2x y i 2y z j 2z x k

and S is the surface of the tetrahedron bounded by theplanes x = 0, y = 0, z = 0, x + y + z = 1. 10

OR

[ 3 ]

V-94 [Turn Over

Evaluate by Stoke's theorem

C

yzdx zxdy xydz ,

where C is the curve x2 + y2 = 1, z = y2. 10

6. a) If U and W are two subspaces of a vector space Vwhich is finite dimensional, then show that 9

dim (U + W) = dim U + dim W – dim (U W)

b) Show that S = {(1, 1, 1), (1, 2, 3), (–1, 0, 1)} is abasis for V3. 5

OR

a) In a vector space V if {v1, v2, ..... vn} generates Vand if {w1, w2, .... wm} is LI, show that m n. 9

b) If U1, U2 .... Un be n subspaces of a vector space V,

prove that n

ii 1

U is a subspace of V.. 5

7. Let T : U V be a linear map, prove that

i) R(T) is a subspace of V

ii) N(T) is a subspace of U

iii) T is one-one iff N(T) is the zero subspace of U. 12

OR

Determine the matrix (T : B1, B2) for the given lineartransformation T and the bases B1 and B2.

T : V3 V2, T(x, y, z) = (x + y, y + z)

i) B1 = {(1, 1, 1), (1, 0, 0), (1, 1, 0)}, B2 = {e1, e2}

ii) B1 = {(1, 1, 23 ), (–1, 2, –1), (2, 3, 1

2 ),

B2 = {(1, 3), ( 12 , 1)} 12

8. a) Find range, kernel, rank and nullity of the matrix

1 1 1 02 3 1 11 5 2 00 0 1 1

6

[ 4 ] [ 5 ]

V-94 [Turn Over

[ 6 ]

b) Solve the following system of equations by usingthe row reduction method. 6

x – y + z = 0

2x + y – 3z = 1

–x + y + 2z = –1.

OR

a) Determine the rank of the matrix

1 2 1 01 3 0 4

2 1 3 21 1 1 1

by reducing it to row-reduced echelon form. 6

b) Find the inverse of the matrix

2 0 17 1 23 1 1

6

9. Show that the rank r of an m × n matrix A is the orderof the largest non zero minor of A. 12

OR

[ 7 ]

Determine the eigen values and the correspondingeigen spaces for the matrix

3 2 42 0 24 2 3

. 12

V-94-2

I-PG-Phy-I



1. a) Show that the spherical Bessel function Jn(x)satisfy the orthonormality condition.

m n nmJ x J x dx 2n 1

6

b) Show that Legendre functions are special casesof hypergeometric function. 4

c) Obtain integral representation for 1f1 (a, c, z). 4

d) Write down Rodrigue's formula for Laguerrepolynomial Ln(x). Using the formula find out thevalue of L2(x) and L3(x). 2

OR

a) Obtain a series solution of hypergeometric equationindicating the nature of singularities. 2+5

b) Show that 12

2J x cos xx

2

c) What is meant by SU(2) group ? Show that thegeneral form of the transformation matrix of SU(2)group is

a bb* a *

with aa* + bb* = 1. 4

V-121-0.3

[ 4 ]

V121 [Turn Over

c) Show that

xn m

0

e L x L x dx n!m! nm

4

d) Prove that

log 1 x x F 1,1, 2, x . 3

2. a) Find the Green's function of the equation

2

22

d y k y f xdx

with boundary conditions 0 < x < 1. 7

b) Evaluate the integration using a suitable countour

ab2 2

x sin bx dx e a, b 0x a

. 5

OR

a) Use Green's function method for finding thesolution to the Poisson's equation

2 r 4 q r

with boundary condition that

r 0 as r 5

b) Show that Green's function is symmetric underthe exchange of its arguments. 3

e) Evaluate the integral

2 2dx

x 1 x 4

4

3. a) Using tensor analysis establish the relation

a b b a a b

4

b) Define contravariant and covariant tensor of ranktwo. Prove the tensor character of the Levi Civitasymbol ij k. 4

c) Discuss reducible and irreducible representationwith examples. 4

OR

a) Define the fundamental tensor (metric) gij. Showthat the components of the metric tensor gijtransform like the components of a second ranktensor. 4

b) Define character of a group representation. Provethat group representation belonging to the sameclass have the same character. 4

V121 [Turn Over

[ 3 ][ 2 ]

I-PG-Math-I




1. a) Define a K-cell. Prove that every K-cell iscompact. 5

b) Prove that subsets of compact sets are compact. 3

OR

c) Prove that a subset E of the real line R' is connectedif and only if it has the following property : 4

if x E, y E, and x < z < y, then z E.

d) Prove that subsets of metric spaces are closed. 4

2. a) Prove that there exists a real continuousfunction on the real line which is nowheredifferentiable. 6

b) Show that every uniformly convergent square ofbounded functions is uniformly bounded. 2

OR

V122 [Turn Over

d) Define almost uniform convergence. Show thatuniform convergence a.e. implies almost uniformconvergence. 2

V-122-0.6

[ 4 ]

c) Suppose fn f uniformly on a set E in a metricspace. Let x be a limit point of E and suppose that

tn nt x

lim f A

, n = 1, 2, 3, ..... Then, prove that

{An} converges, and tnt x n

lim f lim A

. 6

d) Does every convergent square contain a uniformlyconvergent subsequence ? Justify your answer. 2

3. a) Define a -algebra. Prove that the class ofLebesque measurable sets is a -algebra. 5

b) Show that every non-empty perfect set E R isuncountable. 3

OR

c) Define a measurable function. Prove that if f andg are real valued measurable functions, then f + gis measurable. 4

d) Prove that every interval is measurable. 4

4. a) State and prove Fatou's Lemma. 6

b) Show that if f is non-negative measurable function,then f = 0 a.e. if and only if fdx = 0. 2

OR

c) If f is a finite valued monotone increasing functiondefined on the finite interval [a, b], then provethat f ' is measurable and

b

af dx f b f a 6

d) Show that if > 1, then

1

n 0

nxsin xlim dx 0.1 nx

2

5. a) State and prove Jensen's inequality. 4

b) Let {fn} be a sequence in L such that

||fn – fm|| 0 as n, m . Then prove that thereexists a function f such that lim fm = f a . e.,

nf L and lim ||f f || 0.

4

OR

c) If {fn} is a sequence of measurable functions whichis fundamental in measure, then prove that thereexists a measurable function f such that fn fin measure. 6

V122 [Turn Over

[ 3 ][ 2 ]

I-PG-Pol.Sc-I



1. Discuss the traditional methods of study of comparativepolitics. 16

OR

Explain Input-Output analysis of the Political System.

2. Discuss the meaning of constitutionalism and point outthe evolution and growth of constitutionalism. 16

OR

Explain the concept 'Political Socialisation' andexamine the different agents of Political Socialisation.


a) Expanding horizons of comparative Politics.

b) Featurs of Modernization

c) Karl W. Deutsch's theory of Political Communication.

V-120-0.5

I-PG-Odia-I(Reg/Back)



1. "ÓSöæ{ÀÿæÜÿ~ ¯ÿö'{Àÿ ÷Lÿsç†ÿ †ÿ‡æÁÿêœÿ Àÿæfœÿê†ÿçÀÿ Àÿç ÿß ÷’ÿæœÿLÿÀÿ > 12

A$¯ÿæA¯ÿ™í†ÿZÿ œÿê†ÿ çÉçäæ ¯ÿ¿Nÿç H Óþæf fê¯ÿœÿ ¨÷†ÿ ç {Lÿ{†ÿ’íÿÀÿD¨{¾æSê - Aæ{àÿæ`ÿœÿæ LÿÀÿ >

2. "{¯ÿð{’ÿÜÿêÉ ¯ÿçÁÿæÓ'Àÿ ¨vÿç†ÿæóÉ A¯ÿàÿºœÿ{Àÿ Lÿ¯ÿçZÿ ¨æƒç†ÿ¿÷’ÿÉöœÿ LÿÀÿ > 12

A$¯ÿæ"ÀÿÓ Lÿ{àÿâæÁÿ' Lÿæ¯ÿ¿ vÿç†ÿæóÉ µÿç ÿç{Àÿ Lÿ¯ÿçZÿ ™þö™æÀÿ~æ ÓþêäæLÿÀÿ >

3. {¾ {Lÿò~Óç ’ëÿBsçÀÿ Ó ÷Óèÿ ÓÀÿÁÿæ$ö {àÿQ : 4 x 2Lÿ) LÿçÀÿçÌæ~ {¯ÿæBàÿæ †ëÿ{» ë~¿¯ÿ;ÿ fœÿ

{ß{†ÿLÿ d¢ÿ Lÿ{àÿ Lÿç ÀÿÜÿB †ëÿ»Àÿ ¯ÿÝ¨~ >Q) F~ë F ÓóÓæÀÿ Óèÿ{†ÿ

¨êÀÿ†ÿç œÿ LÿÀÿç ÿ `ÿç{ˆÿ >

V-119 [Turn Over

S) ¯ÿçjæœÿê {Lÿð ÿˆÿö {™æBàÿæ¯ÿç{É ¨†ÿç†ÿ¨æ¯ÿœÿ œÿæþ ÀÿÜÿçàÿæ >>

W) {Lÿ{†ÿ LÿD†ëÿLÿ Ad;ÿç F$#{Lÿ¯ÿÁÿ äêÀÿÓç¤ëÿ ÷æ{ß þ¡ÿç

LÿÀÿ ÀÿÓfæ†ÿLÿÀÿç ™êÌ~æ þ¢ÿÀÿ ¨¯ÿö†ÿ >>

4. {¾ {Lÿò~Óç `ÿæÀÿçsçÀÿ Óóäç© DˆÿÀÿ ’ÿçA : 2 × 4Lÿ) {LÿDô ¯ÿ÷æÜÿ½~ µíÿþç{Àÿ Àÿœ#ÿfæàÿç ¯ÿæÜÿæÀÿç$#àÿæ ?Q) LÿÁÿç¾ëS {àÿæ{Lÿ Lÿ'~ œÿç¢ÿæ LÿÀÿç{¯ÿ ?S) AæÜÿæ{Àÿ µÿàÿþ¢ÿ œÿæÜÿ]

{¾ ×æ{œÿ {¾þ;ÿ þçÁÿB - F Lÿ$æ LÿçF LÿæÜÿæLëÿ LÿÜÿç$#{àÿ ?W) ¾’ëÿ A¯ÿ™í†ÿ Óºæ’ÿ µÿæS¯ÿ†ÿÀÿ {LÿDô Ôÿ¤ÿÀëÿ Aæœÿê†ÿ ?Yÿ) D{¨¢ÿ÷µÿq {LÿDô þ¦ S÷Üÿ~ í ÿöLÿ Óê†ÿæ É÷êÀÿæþZÿ `ÿÀÿç†ÿ

Sê†ÿ{Àÿ ÷LÿæÉ LÿÀÿç$#{àÿ ?`ÿ) A{¾æšæÀÿ {LÿDô ÀÿæfæZëÿ þæßæ¾ë•{Àÿ ¯ÿçœÿæÉ LÿÀÿç Àÿæ¯ÿ~

AµÿçÉ© {ÜÿæB$#àÿæ ?d) LÿæÜÿæÀÿ É÷êAèÿ LÿÁÿæ ç LÿÁÿæ¨{Àÿ {Éæµÿç†ÿ ?f) Lÿ¯ÿç†ÿ þÁÿß {LÿDô †ÿÀÿëLëÿ ¨àÿâ ÿç†ÿ Lÿ{Àÿ ?

V-119-0.6

[ 2 ]

I-PG-Com-I (MCOB)



1. Explain the management thought of scientific processand quantitative & system school. 13

OR

Discuss the functions of a Manager.

2. Define 'Planning' and discuss its significance. 13

OR

Discuss the nature of control and its various techniques.

3. Define 'Personality' and discuss the personality traitsthat are relevant to organisational behaviour. 14

OR

Discuss Victor Vroom's Expectancy Theory & StacyAdan's Equity theory.

V-123-1

III-UG-BBA(EL)-III (MM)



1. "The marketing concept says 'find wants and fill them'rather than create products to sell them". Discuss.

OR

What is 'Marketing Mix' ? Explain its components.

2. Discuss the various psychological variables affectingconsumer behaviour.

OR

How the bases of segmenting the consumer market aredifferent from those of industrial markets ? Discuss.

3. What factors would you consider while successfullydeveoping a new product and its commercialisation ?Clarify.

OR

What is product pricing ? What factors decide pricingdecisions ?

4. Discuss the services which wholesellers render to themanufacturers and consumers. Can these middlemenbe eliminated ?

OR

What is a channel of distribution ? What factors governselection of middlemen ?

5. Discuss the various media used for advertising theproducts and services with their comparative analysis.

OR

"Personal selling process is the logical sequence ofsteps that a sales person takes in dealing withprospective customer". Discuss the statement anddiscuss the various stages in the personal sellingprocess.

V-96-1

V-96 [Turn Over

[ 2 ]

III-UG-Eng(H)-III



1. a) Fill in the blanks : 1 × 8

i) ______ is the author of Biographia Literaria ?

ii) Restoration of monarchy in England tookplace in the year ______.

iii) Essay on Man is written by ______.

iv) Sir Roger de Coverty is a memorable charactercreated by ______.

v) Yahoos are imaginary creatures who appearin the novel ______.

vi) ______ is regarded as a pre-romantic poet.(Wordsworth, Spencer, Goldsmith)

vii) Restoration comedy is also known as _____.(comedy of humour, comedy of manners,

romantic comedy)

V-98 [Turn Over

b) O! what a deal of scorn looks beautifulIn the content and anger of his lip,A murderous guilt shows itself more soonThan love that would seem hid : love's night is noon.

OR

After him I loveMore than I love these eyes, more than my life,More, by all mores, than ever I shall love wife.If I do feign, you witnesses abovePunish my life for tainting of my love !

V-98-0.6

[ 4 ]

viii) The line "The still, sad music of humanity"occurs in Wordsworth's poem _____.

b) Write short notes on any four : 4 × 4

i) Heroic Couplet

ii) The Periodical Essay

iii) Satire in 18th Century

iv) Heroic Tragedy

v) Dr. Samuel Johnson

vi) The Transitional Poetry or the Pre-RomanticPoetry.

vii) The Age of Prose and Reason.

viii) Neoclassicism.

2. Write a note on Shakespearean Tragedy with specialreference to King Lear. 14

OR

"Lear is more sinned against than Sinning". Discuss.

3. Comment on the treatment of love in the playTwelfth Night. 14

OR

Draw a character-sketch of Olivia.

4. How does Marvell establish the superiority of acontemplative life over a life of action ? Discuss withreference to the poem "The Garden". 14

OR

"The subject of this poem is a metaphysical problem ;that of the union of the lovers even when they areseparated". Discuss with reference to Donne's poem"A Velediction Forbidding Mourning".

5. Annotate any two of the following with reference tothe context : 2 × 7

a) Unhappy that I am, I cannot heaveMy heart into my mouth : I have your majestyAccording to my bond ; nor less nor more.

OR

Pray, do not mock me :I am a very foolish fond old man,Four score and upward, not an hour more nor less;And to deal plainly,I fear I am not in my perfect mind.

V-98 [Turn Over

[ 3 ][ 2 ]

III-UG-Eco(H)-III



1. Explain various concepts of National Income and showhow these are related.

OR

Discuss the expenditure method of measuring nationalincome. Point out the shortcomings of this method.

2. What do you mean by underemployment equilibrium ?Discuss the views of classicals and Keynes on this issue.

OR

Briefly explain the classical model of Incomedetermination without savings and Investment.

3. State and explain Keynesian principle of effectivedemand.

OR

V-99 [Turn Over

Critically examine the Relative Income hypothesisexplaining the relationship between Income andConsumption.

4. Distinguish between Autonomous and InducedInvestment. Analyse the factors influencing InducedInvestment.

OR

Distinguish between MEC and MEI. Discuss thefactors affecting MEC.

5. What is liquidity preference ? What role does it playin determining the rate of interest ?

OR

Write notes on :

a) Liquidity trap

b) Demand for money.

V-99-1

[ 2 ]

III-UG-Hist(H)-III



1. Assess the achievements of Iltutmish as the founder ofthe Delhi Sultanate.

OR

Write a note on the social and economic condition ofIndia during the sultanate period.

2. Highlight the achievements of Krushna dev Ray.

OR

Briefly discuss about the doctrines of the Sufi Saints.

3. Estimate Babur as an empire-builer.

OR

Analyse the causes of Humayun's failure.

4. Review the Religious Policy of Akbar.

OR

Examine the Decan Policy of Aurangzeb.

V-100 [Turn Over

5. Discuss the administration of Shivaji.

OR

Throw light on the social life under the Mughals.

V-100-0.6

[ 2 ]

III-UG-Phil(H)-III



1. What is word meaning ? Explain different theories ofmeaning. 5+11

OR

Define Vagueness and discuss different ways in whichvagueness of a language occurs.

2. What is definition ? Discuss the nature of causaldefinition. 4+12

OR

How do we obtain concept ? Explain the distinctionbetween concept and image with suitable examples.

3. State the logical status of category-mistake with specialreference to sentence-meaning. 16

OR

Discuss the correspondence theory of truth.

V-102 [Turn Over

4. Is synthetic a priori judgement possible ? 16

OR

Explain the nature of logical possibility.

5. Discuss the nature of substance with reference tometaphysical problems. 16

OR

Discuss Plato's theory of Universals.

V-102-0.6

[ 2 ]

III-UG-Pol.Sc(H)-III



1. Discuss the importance of "Rule of Law" in GreatBritain.

OR

Examine the powers and position of the BritishMonarch.

2. "The Senate of the USA is the most powerful secondchamber in the World". Justify.

OR

What do you mean by 'Judicial Review' ? Discuss thepower of Judicial Review of American Supreme Court.

3. Discuss the composition and functions of the SwissFederal Assembly.

OR

Discuss the organisation and jurisdictions of the SwissFederal Tribunal.

V-101 [Turn Over

4. Briefly discuss the salient features of the Constitutionof China.

OR

Describe the composition, powers and functions of theNational People's Congress of China.

5. Compare the Party system of the United Kingdom withthat of the United States of America.

OR

Explain the role of Communist Party of China.

V-101-1.4

[ 2 ]

III-UG-Odia(H)-III(Reg/Back)



1. ¨vÿç†ÿ ¨÷¯ÿ¤ÿ µÿçˆÿç{Àÿ Aæ¾ö¿ Óµÿ¿†ÿæ H ÓóÔõÿ†ÿ çÀÿ þÜÿæœÿ†ÿæ’ÿÉöæA > 15

A$¯ÿæœÿæþLÿÀÿ~, LÿçµÿÁÿç ¯ÿ¿NÿçÀÿ ¯ÿ¿Nÿç†ÿ Óí ÿLÿ, †ÿæÜÿæ ¯ÿç ÿæÀÿ LÿÀÿ >

2. Ó ÷Óèÿ ÓÀÿÁÿæ$ö {àÿQ : 5÷{†ÿ¿Lÿ ™þöÀÿ þíÁÿ{Àÿ {¾ Óæ¯ÿö{µÿòþçLÿ Ó†ÿ¿ œÿçÜÿç†ÿ Adç, †ÿæÜÿæ

{Lÿò~Óç Ó ÷’ÿæß œÿçLÿs{Àÿ A¯ÿ{jß ÿæ Àÿç†ÿ¿æf¿ {ÜÿæB œÿ æ{Àÿ >A$¯ÿæ

µÿæS¿¯ÿæ’ÿêþæ{œÿ LÿÜÿ;ÿç {¾ í ÿöfœÿ½Lõÿ†ÿ üÿÁÿ Üÿ] þ~çÌ F fœÿ½{Àÿ{µÿæS Lÿ{Àÿ >

3. ¯ëÿÞæ É\ÿæÀÿç `ÿÀÿç†ÿ÷ `ÿç†ÿ÷~ LÿÀÿ > 15A$¯ÿæ

""`ÿ{Lÿæ{àÿs{Àÿ vÿLÿç{Üÿàëÿ †ëÿ Üÿ†ÿµÿæSæ'' - FÜÿç DNÿç d{Àÿ {¾DôœÿæsLÿêß Ws~æ ÀÿÜÿçdç †ÿæÜÿæ ÷LÿæÉ LÿÀÿ >

V-104 [Turn Over

4. Ó ÷Óèÿ ÓÀÿÁÿæ$ö {àÿQ : 5{ÜÿB, - {Ó Lÿ~{Àÿ {¨æàÿçÓ àÿæBœÿ ¨ÝçAæ D¨{Àÿ fÜÿ§ > üÿæ{ÁÿLÿsç¾æBdç > dëÀÿê{Àÿ Lÿsæ{Üÿàÿæ Àÿç œëÿ{Üÿô, LÿçF dç{ƒB {œÿàÿæ¨Àÿç >†ÿæ' `ÿæÀÿç æQ ¾æLÿ {Sæàÿ{ÜÿæB ¨æDôÉçAæ AæàëÿA, - LëÿÜëÿÝç >

A$¯ÿæAÜÿçóÓæÀÿ ’ÿ´æÜÿ ç{’ÿB {’ÿÉ¯ÿ¿æ¨ê {¾Dô µÿêÀëÿ†ÿæ H dÁÿœÿæÀÿõÏ{¨æÌLÿ†ÿæ LÿÀÿæ{Üÿàÿæ, †ÿæÜÿæÀÿç Àÿç~æþ {Üÿàÿæ µÿæÀÿ†ÿ ÿçµÿæfœÿ

†ÿ$æ Óæó ÷’ÿæßçLÿ ÀÿNÿ¨æ†ÿ >

5. üÿLÿêÀÿ {þæÜÿœÿ {Óœÿæ¨†ÿçZÿ HÝçÉæÀÿ S÷æþ¿fê¯ÿœÿÀÿ Óæ$öLÿ Àíÿ¨LÿæÀÿLÿÜÿç ÿæ {Lÿ{†ÿ’íÿÀÿ ¾ëNÿç¾ëNÿ, "d'þæ~ AævÿSë=ÿ' µÿç ÿç{Àÿ †ÿæÜÿæAæ{àÿæ`ÿœÿæ LÿÀÿ > 15

A$¯ÿæÀÿæþ`ÿ¢ÿ÷ þèÿÀÿæfZÿ `ÿÀÿç†ÿ÷ `ÿç†ÿ÷~ LÿÀÿ >

6. "¨Àÿfæ' D¨œÿ¿æÓÀëÿ ¨Àÿfæ fœÿfæ†ÿçÀÿ ÓæþæfçLÿ `ÿÁÿ~ç Óº¤ÿ{ÀÿA¯ÿS†ÿ LÿÀÿæA > 15

A$¯ÿæLÿæ{fæÝç `ÿÀÿç†ÿ÷ `ÿç†ÿ÷~ LÿÀÿ >

7. D¨œÿ¿æÓÀÿ ÷LÿæÀÿ{µÿ’ÿ Óº¤ÿ{Àÿ œÿæ†ÿç’ÿêWö Aæ{àÿæ`ÿœÿæ LÿÀÿ > 10A$¯ÿæ

÷ ÿ¤ÿÀÿ Óójæ H ÓÀíÿ¨ ¯ÿç ÿæÀÿ LÿÀÿ >

V-104-0.7

[ 2 ]

III-UG-Sans(H)-III



1. _oK{Xem C‚m{`ZrdU©Z§ Hw$éV Ÿ& 15

AWdm

nyd©_oK_db_ã` H$m{bXmgñ` Cn_mnmQ>d§ {d_¥eV Ÿ&

2. gàg“§ ì`m»`mV : 10

OmV§ d§eo wdZ{d{XVo nwîH$amdV©H$mZm§OmZm{_ Ëdm§ àH¥${Vnwéf§ H$m_ê$n§ _KmoZ… Ÿ&VoZm{W©Ëd§ Ëd{` {d{YdemX² Xya~ÝYwJ©Vmo@h§`mÀÄmm _moYm da_{YJwUo ZmY_o bãYH$m_m Ÿ&&

AWdm

Vñ`moËg“o àU{`Z Bd òñVJ“mXwHy$bm§Z Ëd§ ÑîQ‰>m Z nwZabH$m§ kmñ`go H$m_Mm[aZ² Ÿ&`m d… H$mbo dh{V g{bbmoÒma_wƒ¡{d©_mZm_wº$mOmbJ«{WV_bH§$ H$m{_Zrdm^«d¥ÝX_² Ÿ&&

V-105 [Turn Over

3. Ì`mUm§ g§{jámoÎma§ àXÎm : 3 × 5

H$) nyd©_oKñ` àW_íbmoHo$ "H$píMV²' "am_Jr ©ml_ofw' Mo{V nXÛ`ñ`à`moJgmYwVm§ {Z{X©eVŸ&

I) _oK… {H$å yVm§ aodm§ X«ú`{V ?

J) H$W§ gma“m _oK_mJª gyM{`î`mpÝV ?

K) AÝVgma§ YZ§ Vwb{`Vw_² A{Zb… H$W_² Ag_W©… ?

L>) {d{Xem`m… emo m§ dU© V Ÿ&

M) "ñÌrUm_mÚ§ àU`dMZ§ {d «_mo {h {à ofw' - BË`ñ` H$mo ^md… ?

4. ^JdX²JrVmZwgmaoU pñWVàkñ` bjUm{Z {bIV Ÿ& 15

AWdm

ñdY_©{df o lrH¥$îUñ` CnXoeOmV§ gmoÕhaU§ à{VnmX`V Ÿ&

5. gàg“§ ì`m»`m H$m ©m : 5

ZmgVmo {dÚVo ^mdmo Zm^mdmo {dÚVo gV… Ÿ&

C^`moa{n Ñï>mo@ÝVñËdZ`moñVÎdX{e©{^… Ÿ&&

AWdm

Z¡Z§ {N>ÝXpÝV eóm{U Z¡Z§ Xh{V nmdH$… Ÿ&

Z M¡Z§ ŠboX`ÝË`mnmo Z emof`{V _méV… Ÿ&&

6. AYmo{b{IVofw MVwU©m§ gbjU_² CXmhaU§ {bIV : 4 × 5

AZwàmg…, AW©mÝVaÝ`mg…, Cn_m, Ñï>mÝV, {d^mdZm, íbof… Ÿ&

V-105-0.8

[ 2 ]

III-UG-Hn(H)-III



1. lÕm H $s n[a^mfm XoVo hþE BZHo $ {d{^Þ àH$mam | H $s MM ©mH$s{OE Ÿ& 15

AWdm

"nhbm g\o$X ~mb' _| {Z{hV ì §½` na àH$me S>m{bE Ÿ&

2. "H$_© y{_' _| {M{ÌV g_ñ`m H$m {díbofU H$s{OE Ÿ& 12

AWdm

A_aH$m§V H$m M[aÌ {MÌU H$s{OE Ÿ&

3. {ZåZ{b{IV AdVaUm| H$s gàg§J ì`m»`m H$s{OE : 8 × 2

H$) AÀN>o ~wZo hþE dó _| O¡go VmZm-~mZm ì`º$ Zht hmoVm, d¡go hrh_mar gm§ñH¥${VH$ EH$Vm _| à`mg àË`j$ Zht h¡ Ÿ&

AWdm

AemoH$ {H$gr Hw$eb A{^ZoVm Ho$ g_mZ P_-go a§J_§M na AmVmh¡ Am¡a Xe©H$m| H$mo A{ yV H$aHo$ In-go {ZH$b OmVm h¡ Ÿ&

V-106 [Turn Over

I) ~mV Š`m h¡ {H$ `hm± bmoJ ^JdmZ H$s H$Wm gwZZo AmVo h¡ {H$AnZm Y_© «ï> H$aZo AmVo h¢ Ÿ& §Jr, M_ma {Ogo XoImo KwgmMbm AmVm h¡ � R>mHw$a Or H$m _pÝXa Z hþAm gam` hþB© Ÿ&

AWdm

Omo yIm| _aVo h¢, MrW‹S>o Am¡a nwAmb _| gmoH$a {XZ H$mQ>Vo h¢,CZgo EH$ n¡gm ^r X~mH$a boZm AÝ`m` h¡ Ÿ&

4. H$hmZr H$bm H o $ AmYma na "dmngr' H$hmZr H$s g_rjmH$s{OE Ÿ& 12

AWdm

{H$gZo {H$ggo Š`m H$hm Wm ? "CgZo H$hm Wm' H$hmZr H$s H$WmdñVwH$s MM©m H$aVo hþE Bg àíZ H$m CÎma Xr{OE Ÿ&

5. {H$Ýht Mma àíZm| Ho$ g§{já CÎma Xr{OE : 5 × 4

H$) ào_ Am¡a lÕm _| AÝVa ñnï> H$s{OE Ÿ&

I) H$m_Xod Ho$ YZwf Ho$ Qy>Q>Vo na Š`m hþAm ?

J) "H$_© y{_' H$s _H$sZm H$m n[aM` Xr{OE Ÿ&

K) "H$_© y{_' CnÝ`mg Ho$ Zm_H$aU H$s gmW©H$Vm à{Vnm{XVH$s{OE Ÿ&

L>) "Xmonha H$m ^moOZ' H$hmZr H$m CÔoí` ñnï> H$s{OE Ÿ&

M) "AmH$meXrn' H$hmZr _| Månm ~wÕJwá go emXr H$aZo go Š`m|BZH$ma H$a XoVr h¡ ?

6. {ZåZ{b{IV _| go {H$Ýht AmR> àíZm| Ho$ CÎma EH$-EH$ dmŠ`m| _|Xr{OE : 1 × 8

H$) ènmb H$m nyam Zm_ Š`m h¡ ?

I) ènmb H$m OÝ_ H$hm± hþAm Wm ?

J) ènmb {H$g _m{gH$ n{ÌH$m H$m àH$meZ H$aVo Wo ?

K) ènmb Ho$ àW_ CnÝ`mg H$m Zm_ Š`m h¡ ?

L>) ènmb Ho$ {H$gr EH$ Eo{Vhm{gH$ CnÝ`mg H$m Zm_ {b{IE Ÿ&

M) {Zambm Zo nhbo {H$g n{ÌH$m Ho$ g§nmXZ {H$`m Wm ?

N>) _hmH${d {Zambm Zo Š`m| CnÝ`mg {bIZm àma§ {H$`m ?

O) {Zambm Ho$ {H$gr EH$ CnÝ`mg H$m Zm_ ~VmBE Ÿ&

P) {Zambm Ho$ ì`{º$Ëd H$m _w»` d¡{eîQ>ç Š`m h¡ ?

Äm) {Zambm H$s g~go à{gÕ Am¡a bmoH${à aMZm H$m Zm_ Š m h¡ ?

V-106-0.5

[ 3 ][ 2 ]

III-UG-Math(H)-III (Arts/Sc)




1. Examine the continuity of the function

1 1xsin ysin , x, y 0,0x yf x, y0 x, y 0

8

OR

If 1 yu xsin ,x then show that

2 2 2 22

2 2x u u u2xy y 0x yx y

8

2. Expand x2y + 3y – 2 in the powers of (x – 1) and(y – 2). 8

ORTest the extreme values of the function

x2y3 (12 – 3x – 4y). 8

3. Prove that div f g curl f g curlg f

. 8

OR

V-108 [Turn Over

8. Reduce the matrix1 2 1 01 3 0 4

2 1 3 21 1 1 1

to row-reduce echelon form. 10

OR

Find the inverse of the matrix

1 3 21 7 2

1 0 1

by any method. 10

9. a) Find the eigen values and corresponding eigenspaces for the following matrix :

1 1 20 1 01 2 1

7

b) Prove that = 0 is an eigen value of the matrixA iff A is singular. 3

ORa) Let A be a square matrix of order n having k

distinct values 1, 2, .... k. Let vi be an eigenvector corresponding to the eigen value i, i = 1, 2, . .. k. Then show that the set{v1, v2... vk} is LI. 7

b) Prove that the determinant of an idempotent matrixis either 0 or 1. 3

V-108-1

[ 4 ]

If ˆ ˆ ˆr a cos t i a sin t j at tan k, then find

2

2dr d rdt dt

8

4. Evaluate 0

ˆ ˆ ˆF dr where F zi xj yk

and C is the portion of the curveˆ ˆ ˆr cos t i sin t j tk

from t = 0 to t = 2. 8

OR

Evaluate the integral2 2 2

R

4a x y dxdy taken over the upper half of the circle

x2 + y2 – 2ax = 0. 8

5. Verify Gauss divergence theorem for the function2ˆ ˆ ˆF x i zj yzk

over the unit cube. 8

OR

Use Stoke's theorem to find the line integral

2 2

C

x y dx dy zdx where c is the circle x2 + y2 = a2, z = 0. 8

6. a) If U and W are two subspaces of a finitedimensional vector space V, then prove thatdim (U+W) = dim U + dim W – dim (U W). 6

b) Show that the set {(1, –1, 0, 1), (0, 0, 0, 2),(2, –1, 0, 1), (3, 2, 1, 0)} is a basis for V4. 4

ORa) If S is a non-empty subset of the vector space V,

then prove that [S] is the smallest subspace of Vcontaining S. 6

b) Extend the set {(3, –1, 2)} to two different basesfor V3. 4

7. Find the range, kernel, rank and nullity of the matrix

1 1 1 02 3 1 11 5 2 00 0 1 1

10

OR

If

1 1 2 3A 1 0 1 1

1 2 0 0

is a matrix and B1, B2 are the standard bases for V4 andV3 respectively, determine a linear transformationT : V4 V3 such that A = (T : B1, B2). 10

V-108 [Turn Over

[ 3 ][ 2 ]

III-UG-Edn(H)-V



1. State Aims and Curriculum of Vedic Education.

OR

Discuss Methods of teaching in Buddhist System ofEducation.

2. How far state patronage was helpful in MedievalEducation System ? Discuss.

OR

State salient features of Islamic Education.

3. Discuss Macaulay's Minutes.

OR

Discuss Wood's Education Despatch.

4. Discuss Education Commission Report 1964-66.

OR

Discuss Hortog Committee Report, 1929.

V-109-0.6

III-UG-Soc(H)-III



1. Define tribe and discuss its distinctive features.

OR

Write a note on the distribution of tribal people inIndia.

2. Write a note on the food gatherers and hunters.

OR

Discuss the racial diversity of tribals in India.

3. Discuss the aims of tribal marriage and attempt on itsclassification.

OR

Explain the preference and prohibition in tribalmarriage.

4. Discuss the status of tribal women in matrilinealsocieties.

V-103 [Turn Over

OR

Explain how the status of tribal women is interpretedfrom the economic view point.

5. Write a brief note on the major tribes of Odisha.

OR

Discuss how the tribals are affected by the process oftransformation in Odisha.

V-103-0.5

[ 2 ]

III-UG-Psy(H)-V



1. Define Statistics. Discuss different scales ofmeasurement.

OR

Describe different uses of measures of central tendency,calculate the mean of the following data by using shortmethod.

Scores f60-64 155-59 450-54 745-49 940-44 1235-39 830-34 525-29 320-24 1

N = 50

5. Calculate 't' value of the following data and test itssignficance of .05 level.

Subjects Variable 'A' Variable 'B'

1 10 6

2 18 8

3 16 11

4 22 14

5 14 10

6 25 20

7 17 10

8 22 18

9 12 14

10 21 13

OR

What is reliability ? Discuss different methods oftesting reliability.

V-110-0.8

[ 4 ]

V-110 [Turn Over

2. Calculate the Quartile Deviation (QD) of the followingdata and describe the uses of measures of variability.

Scores f90-94 685-89 780-84 1075-79 970-74 1665-69 760-64 655-59 650-54 245-49 1

N = 70OR

Differentiate between Percentile point and PercentileRank. Calculate P70, P60, P50 and P90 of the abovedistribution.

3. What is correlation ? Calculate Spearman Rank OrderCorrelation of the following sets of scores.

Subjects 1 2 3 4 5 6 7 8 9 10

Test 'A' 60 35 70 50 40 40 60 60 40 30

Test 'B' 70 45 80 55 50 40 70 72 45 32

OR

Given a normal distribution with a mean of 60 andSD of 10. What limits will include the highest 10% ofthe distribution ?

4. A social psychologist is interested in determiningwhether there is relationship between the educationlevel of parents and the no. of children they have.Accordingly a survey is taken and the following resultsare obtained. Use appropriate test and test itssignificance at .05 level.

No. of Children Row Total

College Education 53 22 75

High School Education 37 38 75

Column Total 90 60 150

OR

Describe the following statistical concepts :

a) Population and Sample

b) Descriptive Vrs. Inferential statistics

c) Bias in Sampling.

V-110 [Turn Over

[ 3 ][ 2 ]

III-UG-Chem(H)-V



1. a) Define Osmosis and Osmotic pressure. DiscussVan't Hoff 's laws of Osmotic Pressure. Provethat Osmotic pressure is a colligativeproperty. 2+3+2

b) A solution of Sucrose (C12H22O11) is prepared bydissolving 68.4 gm of it per litre of solution. Whatis its osmotic pressure at 270 C ? 3(R = 0.082 lit.atm. deg–1. mol–1).

OR

a) Thermodynamically derive the relation betweendepression in freezing point and molality of thesolute. 7

b) Give an account of abnormal molecular mass. 3

2. a) Define heat capacity at constant volume andconstant pressure. Derive the relationship betweenthem. 2+5

V-112 [Turn Over

c) Why is Phenol Acidic ? 2

OR

a) Write notes on : 3+3

i) Fries rearrangement

ii) Vulcanisation of rubber.

b) Explain with suitable example : 2+2

i) Condensation polymerisation

ii) Acid Catalysed ring opening of epoxides.

6. Discuss the following reactions with examples :

a) Cannizzarro reaction 4

b) Benzoin Condensation reaction 3

c) Nucleophilic addition to Carbonyl group. 3

OR

Predict the products of the following reactions : 2×5

a) Benzaldehyde + NaOH

b) C6H5 – CHO + H2N–NH–C6H5 H

c) Acetophenone 2 4

KOHHN

d) R – CHO + NH3

e) CH3 – CHO dil.NaOH

V-112-0.8

[ 4 ]

b) What is Joule-Thomson effect ? Can you liquifyhydrogen whose inversion temperature is194 K ? 2+1

ORa) State and explain Hess's law of constant heat

summation. 1+3b) The enthalpy of neutralisation of a strong acid with

a strong base is more than that for a weak acidwith a weak base. Explain. 2

c) What is bond dissociation energy ? Calculate theC-C bond energy, given thatheat of sublimation of C = 170.9 Kcalheat of dissociation of H2 = 52.1 KcalC-H bond energy = 99 Kcalheat of formation of ethane = 20.39 Kcal. 1+3

3. Write notes on any two of the following : 5+5a) Siliconesb) Silicatesc) Hydrazine.

ORDiscuss one method of preparation, two chemicalproperties and the structure of any two of the followingcompounds.(a) XeO3 (b) XeF4 (c) XeO2F2 (1+2+2) × 2

4. a) Write the IUPAC name of the following complexcompounds : 4

i) [Co(NH3)6] Cl3ii) [Cr(en)3] Cl3iii) [Cr(H2O)4Cl2]

+

iv) K[PtCl3(NH3)]

b) Discuss the geometrical isomerism in complexcompounds with co-ordination number six. 4

c) Calculate the co-ordination number of

i) Ni in Ni(CO)4

ii) Fe in K4[(Fe(CN)6] 2

OR

a) Discuss valence bond theory of transition metalcomplexes. 4

b) What are chelates ? Explain with examples. 2

c) Discuss optical isomerism of complex compoundswith co-ordination number four. 4

5. a) Write one method of preparation of glycerol. Giveits reaction with KHSO4 at 2000C. 2+2

b) Discuss Pinacol-Pinacolone rearrangement andgive its mechanism. 4

V-112 [Turn Over

[ 3 ][ 2 ]

I-PG-Math-I (OC)




1. a) Suppose K Y X. Then prove that K is compactrelative to X if and only if K is compact relativeto Y. 9

b) Let be monotonically increasing on [a, b].Suppose f

n R() on [a, b], for n = 1, 2, 3, ....,

and suppose fn f uniformly on [a, b]. Then show

that f R() on [a, b] andb b

nna af d lim f d

. 8

OR

c) Suppose {fn} is a sequence of funcitons

differentiable on [a, b] and such that {fn(x

0)}

converges for some point x0 on [a, b]. If nf

V-122(A) [Turn Over

converges uniformly on [a, b], then show that {fn}

converges uniformly on [a, b] to a function f and

nnf x lim f x a x b

9

d) Let P be a nonempty perfect set in RK. Then showthat P is uncountable. 8

2. a) For any sequence of sets {Ei}, show that

* *i i

i 1i 1

m E m E

9

b) i) Show that the constant functions aremeasurable. 4

ii) Show that continuous functions aremeasurable. 4

OR

c) Let {fn, n = 1, 2, ....} be a sequence of non-negative

measurable functions. Then show that

n nlim inf f dx lim inf f dx . 9

d) Show that a function f B [a, b] if and only if fis the difference of two finite valued monotoneincreasing functions on [a, b], where a, b arefinite. 8

3. a) State and prove Minkwski's inequality. 8

b) If {fn} is a sequence of measurable functions which

is fundamental in measure, then show that thereexists a measurable function f such that f

n f in

measure. 8

OR

c) Let fn f a.e. If (i) (x) < or (ii) for each

n, |fn| g, an integrable function, then show that

fn f a.u. 8

d) If 1 p < and {fn} is a sequence in Lp () such

that || fn – f

m||

p 0 as n, m , m , then show

that there exists a function f and a subsequence{n

i} such that lim f

ni = f a.e. Also f Lp () and

lim || fn – f ||

p = 0. 8

V-122(A)-0.2

[ 3 ][ 2 ]

III-UG-Phy(H)-V



1. a) Show that the pair (–y, x) represents thecomponents of a two dimensional vector. 4

b) Show that

A B B A A B

. 4

c) Express 2 in spherical polar coordinates. 4

OR

a) State and prove Gauss divergence theorem. 2+6

b) Find the unit vector perpendicular to the surfacex2 + y2 – z2 = 11 at the point (4, 2, 3). 4

2. a) Find the cube root of –1. 5

b) State and derive Cauchy integral formula. 2+5

OR

a) State and prove Cauchy Residue theorem. 1+5

V-111 [Turn Over

a) Establish Einstein's mass energy relation. 6

b) Show that

22

2E pC

is invariant under Lorentz transformation. 6

V-111-0.8

[ 4 ]

b) Show by Contour Integration

2n2n0

2n!cos d

2 n!

6

3. a) Obtain the series solution of Hermite equation. 8

b) Using generating function of Hermite polynomialprove that

n 1 n n 1H x 2xH x 2nH x 4

OR

a) Show that

1

m n mn1

2P x P x dx2n 1

7

b) Deduce Rodrigue's formula for LegendrePolynomial. 5

4. a) Prove

n 1 1

2

nn,n2 n

4

b) Evaluate the Integral

1 a b

11 x 1 x dx

4

c) Find the Fourier series expansion off(x) = x2 [–, < x < ]. Hence show that

2

2 2 2 21 1 1 1 .........

121 2 3 4 3+1

OR

a) If x n 1

0n e x dx

show that 1ny

0n 1 e dy

. 4

b) If F(k) and G(k) are the Fourier transform of f(x)and g(x) respectively then prove that

* *f x g x dx F k G k dk

. 4

c) Define Laplace transform. Find the Laplacetransform of cos hx. 4

5. a) State the postulates of special theory of relativityUsing the postulates derive Lorentz transformationequations. 2+6

b) Show that the four dimensional volume elementin Minkowski space is invariant under Lorentztransformation. 4

OR

V-111 [Turn Over

[ 3 ][ 2 ]

III-UG-Bot(H)-V




1. Discuss Mendel's laws of inheritance. DescribeMendel's dihybrid ratio with example.

OR

Write notes on :

a) Crossing Over

b) Epistasis.

2. Describe the different types of chromosomalaberrations.

OR

Write notes on :

a) Aneuploidy

b) Mutagenic agents.

3. Give an account of recombinant DNA technology.

OR

Write notes on :

a) Gene Library

b) Germ Plasm Conservation.

4. Write an essay on role of plant breeding in cropimprovement.

OR

Write notes on :

a) Pure Line selection

b) Hybrid Vigour.

5. Define standard deviation and describe the merits,demerits and uses of standard deviation. Write aboutthe methods by which the standard deviation of adiscrete series can be calculated.

OR

Write notes on :

a) Coefficient of variance

b) Population mean and sample mean.

V-112-0.8

[ 2 ]

V-112 [Turn Over

III-UG-Zool(H)-V




1. Discuss the methodology of Sericulture and add a noteon silk production in India.

OR


a) Non renewable resources

b) Live stock

c) Pearl Culture.

2. Describe various types of non conventional sources ofenergy.

OR


a) Conservation of Wild Life

b) Rain water harvesting

c) Management of agricultural produce.

V-114 [Turn Over

3. Discuss various types of organismal association.

OR


a) Levels of biodiversity

b) Microbial diversity

c) Tropical biodiversity.

4. Describe the methodology of Vermiculture and discussits importance.

OR


a) Integrated Pest Management

b) Biofertilizer

c) The Rio declaration.

5. What is environmental monitoring ? Discuss the roleof Information technology in monitoring environment.

OR


a) Green house effect and Global warming

b) Ozone layer depletion

c) Environment Protection Act.

V-114-0.8

[ 2 ]

III-UG-C.Sc(H)-V



1. a) What do you mean by Algorithm ? Explainthe different characteristics of the goodalgorithm. 2+4

b) Define flow chart. How is it different fromalgorithm ? Draw a flow chart to find the sum offirst fifteen even numbers. 2+4

OR

a) Differentiate between modular design andstructured programming in brief. 6

b) Write short notes on the following : 6

i) Object code

ii) Linker.

2. a) What is an Array ? How array can be used andmanipulated ? 2+4

V-115 [Turn Over

ii) Apply the evaluation algorithm and trace forthe valid postfix expression

ABC + * CBA – + *

for given value A = 1, B = 2, C = 3. 3

b) Write a C program to implement a stack ofcharacter string. 6

OR

a) List three applications of stacks. For each,give reasons why stacks would be preferable toarrays. 6

b) Write a program to find the GCD of any twonumbers using Recursion. 6

V-115-0.7

[ 4 ]

b) Write a program to find the sum of the diagonalelements of a 3 × 3 matrix. 6

OR

a) What is a for loop ? Explain with syntax, flowchart and example. Give the working of thefor-loop. 6

b) Write a program to solve the following :

2

3

x 1 , where x 0f x x 4 , where x 0

x 2, where x 0

6

3. a) What are the elements of user defined functions ?Write a function to accept two values a and b, addthese two numbers, print the result and do notreturn any values. 3+3

b) How to initialize the pointer variable ? Explain,how pointers can be passed as arguments to thefunction. 3+3

OR

a) What are the various memory managementfunctions in C ? Explain the purpose of the eachfunctions. 6

b) Write a program to explain the concept of passingstructure to functions. 6

4. a) What is big-O notation ? Explain its significance.Determine the frequency counts for all statementsin the following program statement : 6

i = 1 ;while (i <= n){ x = x + 1 ; i = i + 1 ;}

b) Sort the following lists in ascending order usingselection sort. Show the step by step process.

60, 61, 96, 42, 48, 94, 65, 77. 6

OR

a) Illustrate and describe one method ofrepresentation for sparse matrix. 6

b) Write the 'C' code for deleting an element after aspecific position of a linked list. 6

5. a) i) Write the prefix form of the following

A ^ B * C – D + E / F / (G + H). 3

V-115 [Turn Over

[ 3 ][ 2 ]

III-UG-Com(H)-IV (POBM)



1. "Management is a distinct process of planning,organising, directing and controlling the humanefforts to achieve common objective. Elucidate thisstatement. 16

OR

What is the basic theme of contingency approach tomanagement ? Explain the practical utility of adoptingthe approach. 8+8

2. What do you understand by MBO ? What steps canyou suggest for effective implementation of MBOprogramme in an organisation ? 4+12

OR

Explain the concept of rational decision making.Briefly describe the steps involved in the process ofrational decision-making. 6+10

V-116 [Turn Over

3. Define Organising. State the principles oforganising. 4+12

OR

Define decentralisation of authority. What are theadvantages and limitations of decentralisation ? 4+6+6

4. What is motivation ? What does Maslow's hierarchy. 16

OR

Describe the communication process. Identify its keycomponents. How communication can be madeeffective ? 4+3+9

5. Define Controlling. Explain the essential requirementsof an effective control system. 4+12

OR

Explain why people resist change in an organisationalsetting. 16

V-116-4

[ 2 ]

I-PG-Odia-II(Reg/Back)



1. þÜÿæLÿæ¯ÿ¿ µÿæ¯ÿ{Àÿ "þÜÿæ¾æ†ÿ÷æ'Àÿ Óæ$öLÿ†ÿæ ¯ÿç ÿæÀÿ LÿÀÿ > 12A$¯ÿæ

Lÿê`ÿLÿ¯ÿ™ A¯ÿàÿºœÿ{Àÿ Sèÿæ™ÀÿZÿ Àÿ`ÿœÿæ{ÉðÁÿêÀÿ {¯ÿðÉçÎ¿÷†ÿç æ’ÿœÿ LÿÀÿ >

2. "Lÿ¯ÿçZÿÀÿ ÷S†ÿçÉêÁÿ µÿæ¯ÿ ÷ ÿ~†ÿæ Üÿ] ¯ÿæfçÀÿæD†ÿ Lÿæ¯ÿ¿sçLëÿ A™#Lÿ÷æ~¯ÿ;ÿ LÿÀÿçdç'' - DNÿçsçÀÿ Ó†ÿ¿æÓ†ÿ¿ ¯ÿç ÿæÀÿ LÿÀÿ > 12

A$¯ÿæ"Àÿæþ`ÿƒê{Àÿ Àÿæ†ÿç H ÓLÿæÁÿ' ¯ÿ‚ÿöœÿæÀÿ A;ÿÀÿæÁÿ{Àÿ Lÿ¯ÿçZÿ{’ÿÉ ÷ê†ÿçÀÿ Aæ{àÿQ¿ ¯ÿç ÿæÀÿ LÿÀÿ >

3. {¾ {Lÿò~Óç ’ëÿBsçÀÿ Ó ÷Óèÿ ÓÀÿÁÿæ$ö {àÿQ : 4 × 2Lÿ) F fê¯ÿ œëÿÜÿôB ×çÀÿ, ×çÀÿsç þÀÿ~,

þæsçÀÿ F WÀÿ œÿç{Êÿ þçÉç ÿ þæsç{ÀÿÓ¯ÿöÜÿÀÿ LÿæÁÿ þÜÿæ¯ÿÁÿçvÿæÀëÿ ¯ÿÁÿê >

Q) {Ó Qæƒ¯ÿ üÿÁÿ {µÿæf{œÿ {Üÿàÿæ fS†ÿ àëÿ²{Lÿ ¨æB Aæœÿ{¢ÿ œÿæ`ÿçàÿæ {Lÿ¯ÿæ œÿ ¨æB äë² >

V-124 [Turn Over

S) {Ó {¾ Ó¯ÿöÜÿÀÿæÜÿÀÿæB`ÿç Ó¯ëÿ Lÿçdç, ¯ÿæLÿçAdç Éõ\ÿÁÿ H LÿæÀÿæ >

W) ¯ÿæ{àÿÉÀ ÿ ëÀÿ ¯ÿ~ç{Lÿ F$# ÓçóÜÿÁÿ ¨{$

{µÿsç$#{àÿ Lÿç {Ó †ÿÀÿæ{Ó fÁÿ’ÿÓë¿ {¯ÿæB{†ÿ >

4. {¾ {Lÿò~Óç `ÿæÀÿçsçÀÿ Óóäç© DˆÿÀÿ ’ÿçA : 2 × 4

Lÿ) ÷LÿæÉç†ÿ þÜÿæ¾æ†ÿ÷æ{Àÿ {Lÿ{†ÿæsç ÓSö ×æœÿç†ÿ {ÜÿæBdç ?

Q) þÜÿæ¾æ†ÿ÷æ{Àÿ ¯ÿ¿¯ÿÜõÿ†ÿ d¢ÿÀÿ œÿæþ Lÿ'~ ?

S) ¯ÿçÀÿæs œÿæÀÿêZÿ ¯ÿœÿ’ëÿSöæ ífæ {LÿDô ¯ÿæÀÿ{Àÿ ¨Ýç$#àÿæ ?

W) "LõÿÌç-Àÿäê-{àÿæ{Î÷ ÉÓ¿µÿäç þõS ¨ÀÿæF Sàÿæ ¨ÁÿæB' -F$#{Àÿ LÿæÜÿæÀÿ ¨ÁÿæßœÿLëÿ Óí ÿç†ÿ LÿÀÿæ¾æBdç ?

Yÿ) þÀÿ~Àÿ ÓµÿæLÿ¯ÿç LÿçF ?

`ÿ) LÿþÁÿ ¯ÿçÁÿæÓê Lÿ¯ÿç {¯ÿæàÿç LÿæÜÿæLëÿ Ó{ºæ™œÿ LÿÀÿçd;ÿç ?

d) Lÿ¯ÿçZëÿ ÓëþÀÿç ÿçÀÿæ{S þëQ {üÿÀÿæB¯ÿæLëÿ Lÿ¯ÿç LÿæÜÿ]Lÿç LÿÜÿçd;ÿç ?

f) ëÿºLÿ {LÿDôvÿç fæÜÿæfþæœÿZëÿ AæLÿÌö~ LÿÀëÿ$#àÿæ ?

V-124-0.6

[ 2 ]

I-PG-Phy-II



1. a) Calculate the rate of change of vector by usingmethod of infinitesimal rotation. 8

b) Derive Euler's equations of motion for a rotatingrigid body. 8

OR

Discuss the torque free motion of a rigid body. Showthat a symmetrical rigid body precesses about Z axiswith frequency

3 3 1 1w I I I

where I1 = I2 and I3 are the principal moment of inertiaand w3 is the 2-component of angular frequency aboutthe body axis. 8+8

2. a) Deduce Hamilton's equation of motion by themethod of Legendre transformation. 6

V-126 [Turn Over

b) Show that the fundamental Lagrange's bracketsare invariant under canonical transformation. 6

OR

a) Define canonical transformation and obtaintransformation equations corresponding to allpossible generating functions. 8

b) Show that the transformation

1Q log sin pq

tP q cot p

is canonical 4

3. Write Hamilton Jacobi equation for Hamilton'sprincipal function. Use it to solve the problem of onedimensional Harmonic Oscillator. 3+9

OR

a) Obtain eigen value equation for a system executingsmall oscillation. 6

b) Discuss normal coordinates and normalfrequencies of vibration. 6

V-126-0.3

[ 2 ]

I-PG-Math-II




1. a) i) If z is a complex number such that zz 1 thenshow that |1 + z|2 + |1 – z|2 = 4. 2

ii) Show that the function f defined by

z Re z

z 0f z | z |

2 z 0

is discontinuous at z = 0. 2

b) Show that the function 2f z z z is no wheredifferentiable. 4

OR

c) Discuss the continuity of the function

2z 3iz 2 z if z z i

4 z i

4

V-127 [Turn Over

5. a) Show that every mobious transformation havingtwo fixed points , can be written as

w zk .w z

4

b) Prove that a bilinear transformation having 0 and as fixed points is at the form w = az. 4

OR

c) Find fixed point of the bilinear transformation

zw2 z

. 4

d) Show that a linear transformation

az bwcz d

where ad – bc 0 into upper half plane Imn 0iff ad – bc > 0. 4

V-127-0.6

[ 4 ]

d) Show that f z | xy | is differentiable

at z = 0. 4

2. a) Verify cauchy Reiman Equation for the functionf(z) = ze–z. 4

b) Find the radius of convergency of the power series

nn

n! z .n 4

OR

c) Show that the function 1f zz 1

is analytic at

z = 1 + i. 4

d) Find the radius of convergency of the power seriesnz

n! . 4

3. a) Evaluate C

xdz where C is the directed line

segment joining 0 to 1 + i. 4

b) Find the zero of f(z) = z2 sinz. 4

OR

c) Expand 2 z

3e

( z 1 ) as Laurent series about z = 1

also indicate the region of convergency. 4

d) Evaluate z

2C

e sin z dzz

where C is the unit circle |z | = 1. 4

4. a) State and prove Liouville's theorem. 4

b) Show that 2C

z 2 9z 2 iz where C is the unit

circle |z | = 1. 4OR

c) Prove that the residue of n

nz

1 z where n N at

z = –1 is

n 11 2n !n 1 ! n 1 !

. 4

d) Use residue theorem to evaluate

C

3z 4 dzz z 1 z 2

where C is the circle 3| z |2

4

V-127 [Turn Over

[ 3 ][ 2 ]

I-PG-Math-II (O.C)




1. a) Show that the relation '' on the set of real numbersis a partial order set. 8

b) Let L, be a lattice for any a, b, c L, provethat 4+4

i) a (b * c) (a b) * (a c)

ii) a * (b c) (a * b) (a * c).

OR

c) i) Draw the Hasse diagram of x, wherex = {2, 3, 6, 12, 24} and the relation isdefined as x y if x divides y. 4

ii) Draw the Hasse diagram of P(A), whereA ={a, b, c} and P(A) is the power set of A. 4

V-127(A) [Turn Over

Input Symbol

Present state a b c

q0 q0 q1 q2

q1 q1 q2 q0

q2 q2 q0 q1

for a {0, 3, 6, 9}, b {1, 4, 7} and c {2, 5, 8} 9

V-127(A)-0.2

[ 4 ]

d) i) Simplify the Boolean expression

(a * b)1 (a b)1. 4

ii) In any Boolean algebra prove that

a = b L ab1 + a1b = 0. 4

2. a) Prove that the function f(x, y) = x + y is primitiverecursive. 8

b) Obtain a grammar for the language

L {0i 1j | if j and i, j > 0}. 8

OR

c) Obtain the production rule of the languageL = {a 2b2c 2}, generated by the grammar{S, B, C}, {a, b, c}, S, 8

d) Show that the function f(x) = x/2 is partialrecursive function. 8

3. a) Let G VN, VT, S, be a T3 grammar whichgenerates the language L(G). Find a finite stateacceptor M = VT, Q, S, , F such thatT(M) = L(G). 9

b) Draw the transition diagram of the machineM = {a, b, c}, {q0, q1, q2, q3, q4}, q0, {q4} where is given by 9

Input SymbolPresent state

a b c

q0 {q0, q1} {q0, q2} {q0, q3}

q1 {q1, q4} {q1} {q1}

q2 {q2} {q2, q4} {q2}

q3 {q3} {q3, q4} {q3, q4}

q4

OR

c) Construct a Turing machine that will computef x, y = x + y. 9

d) Draw the transition diagram of the machine

M = I, Q, q0, , F

where I = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}

Q = {q0, q1, q2}

F = {q0}

and is given by

V-127(A) [Turn Over

[ 3 ][ 2 ]

I-PG-Pol.Sc-II



1. Briefly describe the meaning and evolution of PublicAdministration as a Discipline. 16

ORWhat is good governance ? Discuss the Elements ofgood governance.

2. Discuss the role of Employee Motivation inmanagement with special reference to Maslow's theoryof motivation. 16

ORWhat do you mean by RTI Act ? Write an essay on theRight to Information Act, 2005.

3. Write short notes on any two : 4 × 2a) Nature of Public Administrationb) Globalisation and its impact on Public

Administration.c) E-governance.d) Administrative Ethics.

V-125-0.5

I-PG-Com-II (SA)



1. a) State the addition and multiplication theorems ofprobability and give two different examplesillustrating the application of these theorems. 8

b) Define Binomial distribution and obtain its meanand variance. Also distinguish between NormalDistribution and Binomial Distribution. 3+3

OR

a) A class consists of 100 students, 25 of them aregirls and 75 boys, 20 of them are rich andremaining poor, 40 of them are fair complexioned.What is the probability of selecting a faircomplexioned rich girl ? 3½

b) If from a pack of cards a single card is drawnwhat is the probability that it is either a spade or aking. 3½

b) In calculating a certain cost of living indexnumber, the following weights were used :Food 15, Clothing 3, Rent 4, Fuel and Light 2,Miscellaneous 1. Calculate the index for the periodwhen the average percentage increase in prices ofitems in the various groups over the base periodwere 32, 54, 47, 78 and 58 respectively. Supposea business executive was earning `20,500/- in thebase period, what should be his salary in thecurrent period if his standard of living is to remainsame ? 9

OR

a) Distinguish between interpolation and extra-polation. 4

b) By using a suitable interpolation formula, estimatethe price for the year 1997 using the followingdata : 9

Year 1990 1995 2000 2005 2010

Price 12 15 20 24 31

V-128-1

[ 4 ]

V-128 [Turn Over

c) Between the hours of 2 and 4 P.M. the averagenumber of phone calls per minutes coming intothe switch board of a company is 2.5. Find theprobability that during a particular minute therewill be no phone call at all. 3½

[Given e–2 = 0.13534 and e–0.5 = 0.60650]

d) For a binomial distribution the mean is 6 and thestandard deviation is 2 . Write out all the termsof the binomial distribution. 3½

2. A manufacturing company is faced with the problemof choosing four products to manufacture. The potentialdemand for each product may turnout to be good,satisfactory and poor. The probabilities, estimated foreach type of demand, are given below :

Probabilities of types of demand

Product Good Satisfactory Poor

A 0.60 0.20 0.20

B 0.75 0.15 0.10

C 0.60 0.25 0.15

D 0.50 0.20 0.30

The estimated profit or loss under the differentstates of demand in respect of each product may betaken as :

Product ` ` `

A 40,000 10,000 1,100

B 40,000 20,000 (–) 7,000

C 50,000 15,000 (–) 8,000

D 40,000 18,000 15,000

Prepare the expected value table and advise thecompany about the choice of the product tomanufacture. 13

OR

Distinguish between :

a) Simple random sampling and systemeticsampling. 4

b) Biased and Unbiased errors in sampling. 4

c) 'Census' and 'Sampling' methods of collection ofdata. 5

3. a) Discuss the problem in constructing indexnumber. 4

V-128 [Turn Over

[ 3 ][ 2 ]

III-UG-Phy(EL)-V



1. State and explain Gauss law of electrostatic. Applythis law to find out the electric field due to (i) a longline of charge and (ii) an infinite plane sheet ofcharge. 5+5+5

OR

a) Define susceptibility, permeability and dielectricconstant. How they are related. 6+4

b) Obtain the boundary conditions for electric fieldvector E

and electric displacement D

at the

dielectric surface. 5

2. Deduce the growth and decay of current inLC circuit connected to a d.c. source. Draw thevariation graph. 6+6+3

OR

V-117 [Turn Over

Write notes on : 5 × 3

i) Series resonant circuit

ii) Power factor

iii) Q-factor.

3. Explain Biot-Savart law. Applying this law find outthe magnetic field induction at any point on the axis ofa circular coil carrying current. 3+12

OR

a) State and explain Ampere's circuital law. Derivethe differential form of this law. 5+5

b) A long straight vertical wire carries a current30 amperes directed upward. Find the magneticfield at a distance 30 cm from the wire. 5

4. State and prove Maxwell's electromagnetic equationsexplaining the significance of displacementcurrent. 2+10+3

OR

Deduce Maxwell's equations for electromagnetism inintegral form. State the properties of electromagneticwaves. Discuss Poynting vector. 5+5+5

5. With a neat circuit diagram explain the workingof a full wave rectifier. Derive the expressionfor its efficiency and ripple factor. What are theadvantages of full wave rectifier over half waverectifier. 2+4+3+3+3

OR

With necessary circuit diagram explain theconstruction and working of a Colpitt's oscillator.Derive an approximate expression for oscillatorfrequency. 2+10+3

V-117-2

[ 3 ][ 2 ]

III-UG-Bot(EL)-V



Give diagrams wherever necessary

1. Describe different types of chromosomal aberrations.

OR

Write notes on :

a) Cloning vector

b) Gene Library.

2. Discuss in brief the evidences in support of evolution.

OR

Write notes on :

a) Role of Plant Breeding in crop improvement

b) Hybrid Vigour.

3. Give an account of the Hutchinson's System ofclassification of angiosperms and mention its meritsand demerits.

OR

V-118 [Turn Over

Write notes on :

a) Type concept

b) Floral structure of Musaceae.

4. Describe the characters of the family Asclepiadaceaewith F.F and F.D.

OR

Write notes on :

a) Corolla of Lamiaceae

b) Flower Characters of Euphorbiaceae.

5. Give an account of the Botany cultivation andeconomic importance of Ground nut.

OR

Write notes on :

a) Cultivation of Greengram

b) Economic importance of Sugarcane.

V-118-0.8

[ 2 ]

I-UG-Hist(EL-A)-I



1. Discuss the various sources of ancient Indian history.

OR

Describe the political, social, economic and religiouslife of the Aryans in the later Vedic period.

2. Discuss the main principles of Buddhism.

OR

Examine the causes and impact of the Kalinga War ofAsoka.

3. Review the achievements of Kanishka.

OR

Discuss the career and achievements ofChandragupta-II.

4. Give an account of the administration of HarshaVardhan.

OR

V-142 [Turn Over

Describe the causes and results of the Arab Invasionof Sind.

5. Assess the achievements of Alauddin Khiliji.

OR

Account for the decline of the Delhi Sultanate.

V-142-1.5

[ 2 ]

I-UG-Phil(EL-A)-I



1. Prove that :

a) From a particular major and a negative minornothing can be inferred. 12

b) One of the premises must be negative in theSecond Figure. 8

OR

Explain with examples : 10+10

a) Fallacy of Undistributed Middle

b) Fallacy of Illicit Minor.

2. Point out the importance of the distinction betweeninference and implication. 20

OR

Distinguish between : 10+10

a) Constant and Variable

b) Alternative and Disjunctive Function.

V-143 [Turn Over

3. Construct truth-tables to prove that the followingexpressions are tautologies : 10+10(a) ((p q) . ~ q) ~ p (b) (p q) (q ~ p).

ORWhat is indirect method of truth-table decision ? Applythis method to prove that the following expression is atautology :

((p q) . (~ q r)) (p r). 6+14

4. Reduce the following formulae to their equivalentCNF : 10+10(a) ((p q) . p) q (b) ((p q) . q) p.

ORExplain the following Reference Formulae : 10+10(a) Distributive Laws (b) De Morgan's Rules.

5. Distinguish between : 10+10a) The Complement Class and the Universe of

Discourseb) Class Sum and Class Product.

ORPut the following Boolean expressions into normalform : 10+10(a) ((A'B) + C')' (b) AB + A'C + C'

V-143-1.8

[ 2 ]

I-UG-Sans(EL-A)-I



1. H$) àoVnw ©m§ _mV“ñ` AZw d… H$sX¥e… AmgrV² ? 5 × 3

I) H$m H$m{bÝXr ? Vñ`m… n[aU`… H$W_ yV² ?

J) _mV“… ñdñdßZ{df o amOdmhZ§ {H$_^mfV ?

K) _mV“ñ` H$… n[aM`… ?

2. CËH$b ^mf`m AmL²>b^mf`m dm AZwdmX… H$m ©… Ÿ& 5

Hw$_mam _mam{^am_m am_mÚnm¡éfm éfm í_rH¥$Vma`mo… a`monh{gVg_raUmaUm{^`mZoZ `mZoZmä wX`me§g amOmZ_H$mfw©… Ÿ&

AWdm

à_moXmlwnyUm} amOm nwb{H$Vm“§ V§ _mT>_m{b“ñ` "A o gm¡å` gmo XÎm !'B{V ì`mOhma Ÿ& VV… H$ñ`{n nwÞmJ yéhñ` N>m`merVbo Vbo g§{dï>oZ_ZwOZmWoZ gàU`_^m{U Ÿ&

3. H$) gpÝY{dÀN>oX§ Hw$éV : 1 × 2

Z`ZmoËgd…, H$mb_oVmdÝV_² Ÿ&

V-144 [Turn Over

I) ì`mgdmŠ § g_mgZm_ M {bIV : 1 12 × 2

ydëb^…, e{eeoIa… Ÿ&

4. dZoMañ` C{º$OmVñ` d¡{eîQ>ç§ {dd¥UwV Ÿ& 15

AWdm

"^madoaW© Jm¡ad_²' - BË wºo$… `mWmÏ ª à{VnmX`V Ÿ&

5. gàg“§ ì`m»`m H$m ©m : 10

dgy{Z dmÄN>Þ der Z _Ý wZmñdY_© BË od {Zd¥ÎmH$maU… &

Jwén{Xï>oZ [anm¡ gwVo@{n dm{ZhpÝV XÊS>oZ g Y_©{dßbd_² Ÿ&&

AWdm

H$Wmàg“oZ OZ¡éXmöVm-XZwñ_¥VmIÊS>bewZw{dH«$_… Ÿ&

Vdm{^YmZmV² ì`WVo ZVmZZ…gwXw…ghmÝ_ÝVnXm{XdmoaJ… Ÿ&&

6. H$) n#m_àíZpñWVofw Û`mo… gH$maU§ {d^qº$ {ZU© V : 1 × 2

XÊS>oZ, Y_©{dßbd_², der Ÿ&

I) nÄM_àíZpñWVofw (AWdm^mJo) Û`mo… àH¥${VàË` § {Z{X©eV :

{dH«$_…, AZwñ_¥V…, ZV_² Ÿ& 1 12 × 2

7. JÚH$mì`ñ`moáqÎm {dH$me§ M dU© V Ÿ& 10

AWdm

qH$ Jr{VH$mì`_² ? H${Vn`mZm§ à_wIJr{VH$mì`mZm§ n[aM § XÎm Ÿ&

8. _hm^maVñ` H«${_H${dH$me§ dU© V Ÿ& 10

AWdm

am_m`U_hm^maV`mo… nm¡d©md ª {dd¥UwV Ÿ&

9. Û`mo… g§{já{Q>ßnUr àXo m : 5 × 2

H$) nÄMVÝÌ_²

I) ~¥hËH$Wm

J) doVmbn#mqde{V… Ÿ&

10. g§ñH¥$VoZ {Z~ÝY_oH§$ aM`V : 15

H$) Añ_mH§$ _hm{dÚmb`…

I) g§ñH¥$V^mfm

J) am_m`U_² Ÿ&

V-144-0.8

[ 3 ][ 2 ]

I-UG-Math(EL)-I (Arts)


The questions are of equal valueAnswer all questions selecting either {(a),(b)}

or {(c),(d)} from each questionSymbols used have their usual meaning

1. a) Prove that dsin rds and drcos

ds .

b) Trace the curve x2(y2 + x2) = a2(x2 – y2).OR

c) Find the radius of curvature of

i) r 1 cos a

ii) 2 2 2 2 2p a cos b sin .

d) Show that the asymptotes of the cubicx3 – xy2 – 2xy + 2x – y = 0

cut the curve again in points which lie on the line3x – y = 0.

2. a) Find the area between the curvey2 (a + x) = (a – x)2

and its asymptote.

V-148 [Turn Over

c) Find the equation of the cylinder whose guidingcurve is given by the equations

3x2 + 2y2 – 1 = 0 = z – 3

and whose axis has direction ratios 1, 1, 2.

d) Find the equation of the tangent planes to theconicoid

22 2yx z 13 7 21

which pass through the line

7x – 6y + 9 = 0 = z – 3.

V-148-0.6

[ 4 ]

b) Evaluate the surface area of the solid generatedby revolving the cycloid

x = a (– sin), y = a (1 – cos)

about the line y = 0.

OR

c) Find the volume of the solid obtained by revolvingthe cardioide r = a (1 + cos) about the initial line.

d) Show that the length of the loop of the curve

223ay x x a is 4a 3.

3. a) Solve :

i) xdyx y log y xyedx

ii) y dx + (x2y – x) dy = 0.

b) i) Solve (x2 – 2y2) dx + xy dy = 0.

ii) Solve (y – px) (x2) = p2y.

OR

c) i) Solve dyx log x 1 y.dx

ii) Solve y = 3x + log p.

d) i) Solve 2 2dy1 x xy axy 0.dx

ii) Solve y = 2p + 3p2.

4. a) Solve (D5 – D)y = 12ex + 8 sinx – 2x.

b) i) Find the Laplace transform of t2.cos t.

ii) Find the inverse transform of

3 2p 1

p p 6p

OR

c) Solve x2y" + 2x(1 – x) y' + x (x – 2)y = 0.

d) Use the Laplace transformation to solve the initialvalue problem

y" + 9y = 1 ; y(0) = y'(0) = 0.

5. a) Find the equation of the sphere through the circlex2 + y2 + z2 – 1 = 0 = 2x + 4y + 5z – 6 whichtouches the plane z = 0.

b) Prove that the equation x2 – 2y2 + 3z2 – 4xy + 5yz– 6zx + 8x – 19y – 2z – 20 = 0 represents a coneand find the coordinates of its vertex.

OR

V-148 [Turn Over

[ 3 ][ 2 ]

I-UG-Comm.Eng- (Sc)



1. As a eminent scientist you have been invited to delivera talk on sound pollution. Prepare your personal resumeto be presented to the organizers. 10

OR

You have applied for the post of a science teacher in aschool. Prepare your biodata showing yourqualification, experience and other extra curricularachievements.

2. Draft a report to be published in a newspaperabout the recent flood that badly hit the district ofBalasore. 15

OR

Prepare a report on the science exhibition held in yourinstitution by the science society of your college.

V-147 [Turn Over

3. Prepare notes on the passage given below : 10

People moan about poverty as a great evil and it seemsto be an accepted belief that if people only had plentyof money, they would be happy and useful and get moreout of life. As a rule there is more genuine satisfactionin and more is obtained from life in the humble cottageof the poormen than in the places of the rich.I alwayspity the sons and daughters of richmen who areattended by servants and have governesses at a lateage. At the same time I am glad to think that they don'tknow what they have missed. It is because I know howsweet and happy and pure the home of honest povertyis, how free from perplexing care and from socialenvies and Jealousies– how loving and united, it'smembers are in the common interest of supporting thefamily. It is for these reasons that from the ranks of thepoor so many strong, eminent, self-reliant men havealways sprang and always must spring. If your willread the list of the immortals who are not born to die,you will find that most of them have been fair.

4. Correct the following sentences : 15

i) He died of snakebite.

ii) Paper is made of grass.

iii) He came to college by foot.

iv) After school education he Joined an university.

v) The cow is an useful animal.

vi) Every day he goes to the school at 10 A.M.

vii) Never I have faced such situation.

viii) He reached safely cuttack yesterday.

ix) He managed cleverly the situation.

x) Ten miles are a long distance.

xi) Slow and steady win the race.

xii) Two and two are four.

xiii) I went to station to see off him.

xiv) It has been decided to erect bronze statue 20 feethigh of Mahatma Gandhi.

xv) He is an adapt in climbing trees.

V-147-2.5

[ 3 ][ 2 ]

I-UG-Phy(EL)-I (Back)



1. a) Reduce the two body system to a single bodysystem. 7

b) State and establish the law of conservation ofangular momentum for a system of particles. 2+6

OR

a) State perpendicular and parallel axes theorem ofmoment of inertia. 5

b) Derive an expression for the moment of inertia ofa solid sphere about its diameter. 10

2. Derive the expression for potential at a point outsideand inside a spherical shell and hence deduce field ineach case. 6+5+2+2

OR

Derive Poiseuille's formula for the flow of liquid in acapillary tube. What are the limitations. 12+3

V-189 [Turn Over

3. Set up the differential equation for a particle vibratingin a resistive medium and obtain expression for itsdisplacement. 3+12

OR

Derive the equation for travelling wave and findout the velocity of longitudinal wave in an elasticmedium. 7+8

4. State and explain Carnot's theorem and formulatesecond law of thermodynamics. 10+5

OR

Deduce Clausius-Clayperon equation and discussthe effect of pressure on boiling point and meltingpoint. 9+6

5. Derive Van der Waal's equation of state. Obtain criticalconstants in term of Van der Waal's constants. 6+9

OR

Write and discuss the formula for Maxwell-Boltzmann's distribution of molecular speed andderive average, r.m.s. and mean speed of molecules ofa gas. 3+12

V-189-0.2

[ 2 ]

I-UG-Bot(EL)-I (Back)



1. Give a general account of structure of Mycoplasma.How does it differ from a bacterial cell ? 10+5

OR

Write notes on any two : 7½ × 2

a) Vegetative reproduction in Bacteria

b) Harmful effect of Virus

c) Bacteriophage.

2. Write briefly about various spores of Puccinia growingupon its primary host-wheat. 15

OR

Write notes on any two : 7½ × 2

a) Proliferation of zoosporangium is Saprolegnia

b) Structure of fruiting body of Agaricus. (Nodescription required)

c) Sexual reproduction of Penicillium.

V-190 [Turn Over

3. Give an illustrated account of sexual reproduction ofVaucheria. 15

ORWrite notes on any two : 7½ ×2a) Heterocyst of Nostocb) Nannandrous species of Oedogoniumc) Daughter colony of Volvox.

4. Describe the disease 'Late Blight of Potato" with specialreference to the symptoms, mode of infection andmethod of control. 5+5+5

ORWrite notes on any two : 7½ × 2a) Economic importance of Lichenb) Causal agent of "Rust of Wheat".c) Symptoms and Control of Blast of Rice.

5. With the help of suitable diagrams describe the sexualreproduction of Marchantia. 15

ORWrite notes on any two : 7½ × 2a) Thallus structure of Anthocerosb) Alternation of Generationc) Vegetative reproduction of Funaria.

V-190-0.2

[ 2 ]

I-UG-BBA(C)-I (BCS)



1. Discuss different forms of communication. 20

ORWrite a note on verbal and non-verbal communication.

2. Elucidate skills that result in effective speechmaking. 20

ORDiscuss the skills required for group discussion.

3. Draft a letter to be sent to the head of educationalinstitutions to promote the sale of a new book onbusiness communication that your firm has justpublished. 20

ORImagine that you are the Secretary of the staffassociation of your organisation. Write the minutes ofthe first business meeting of the General Body ofyour organization, convened recently to elect theoffice-bearers.

V-149 [Turn Over

viii) This is an extremely valuable book. (Replace the underlined word with a synonym)

ix) He is a very honest officer. (Replace the underlined word with an antonym)

x) Sugar _____ (taste) sweet.(Fill in the blank with appropriate tenseform of the verb given in the brackets)

V-149-0.9

[ 4 ]

4. a) Write short notes on any one of the following : 10

i) Dipthongs

ii) International Phonetic Alphabet (IPA)

iii) Phonetic Transcriptions.

b) Give syllable divisions of the following : 5

i) Television

ii) Teacher

iii) House

iv) Garden

v) Proposal.

c) Give phonetic transcriptions of the following : 5

i) Book

ii) Girl

iii) Father

iv) Cot

v) Leg.

5. Explain with example how Negative and Interrogativesentences are framed. 10

OR

Define and differentiate Conditional and Relativeclauses.

6. Do as directed : 10

i) You ______ (should not / must not) take law intoyour hands. (Fill in the gap with correct ones

choosing from the bracket)

ii) There is _____ university at Jyotivihar.(Fill in the gap with correct article)

iii) Potato is sold _____ ` 30.00 per K.G.(Supply correct preposition)

iv) He has never visited Konark.(Change into interrogative sentence)

v) The President rejected the proposal.(Replace the underlined word

with a phrasal verb)

vi) ______ the match will be called off.(Supply a conditional clause)

vii) Mr. Mohapatra teaches us poetry.(Change the above into negative)

V-149 [Turn Over

[ 3 ][ 2 ]

I-UG-Comm.Eng-I (Com)



1. Suppose that your e-commerce laboratory in the groundfloor has been worst hit by the recent devastative flood.Prepare a report on the damage caused by the flood forpublication of the same in a daily newspaper. Draftalso a forwarding letter for this purpose. 20

OR

Your Commerce Department had recently organised aseminar on e-commerce : prospects and challeges".Prepare a report on the seminar for publication of it ina Newspaper. Write a forwarding letter to be attachedto this report.

2. You are applying for the post of an Executive in areputed company. Prepare a Resume which you wantto enclose with your application. 20

OR

Prepare a CV which you want to attach to yourapplication for a job.

V-150 [Turn Over

3. You were a candidate for the post of a guest lecturer ofa college. Give details how the interview was heldbetween you and your interviewers. 20

ORGive an account of an interview which was heldfor selection of a Computer Programmer for yourComputer Lab.

4. You want to purchase 32 no. of computers for youre-commerce Lab. Draft a Tender Notice to be given inyour college website for this purpose. 20

OR

Prepare a purchase order to be placed in favour of areputed firm for supply of 24 no. of computers forinstallation in the Computer Science Laboratory.

5. Write a short note on any one of the following : 5a) Aspects of e-Commerceb) Types of e-Commerce

c) Scope or advantages of e-Commerce.

6. There are fifteen common errors in the followingpassage. Rewrite the passage by rectifying the errors.Underline the portion you have rectified. 15

On January 2002, I attended a conference on MedicalTechnology and Healthcare in whitefield. All through

the conference, which began in 9.30 in the morningand at 8.00 in evening, Sri Satya Sai Baba is present.He blessed every presentation and when I finished myfive-minute presentation in how technology wouldtransformed human life - a example being the cardiacstent that we had made - he got up and bless me, to thecheers of participants. I was impressed to saw hisinterest of the conference, as I had been impression bythe speciality hospital at whitefield that I had visitedearlier. He had been told that Chennai was facing awater problem. So, when he announced that he willensure water flowed to the city, it was more hearteningstill. In 3 February 2002, I had an extraordinaryspiritual experience when I visited the Brahma KumariSpiritual Academy at Mount Abu.

V-150-3

[ 3 ][ 2 ]

I-UG-Eng(C)-I (Arts)(Back)



1. a) Fill in the blanks with correct tense form of theverb given in the brackets : 5

i) It _____ (rain) a great deal since you werehere.

ii) They _____ (wash) the dishes now.

iii) He _____ (read) a book when I arrived.

iv) I _____ (finish) my work before he came tosee me.

v) I _____ not (hear) from her for a month.

b) Fill in the blanks with appropriate prepositions : 5

i) They climbed _____ the wall.

ii) He will do anything _____ money.

iii) Our boss usually comes to office _____ car.

iv) He told me _____ his adventures.

v) Hari is bad _____ games.

V-191 [Turn Over

to be educated should concentrate upon those areas oflearning which are attuned to his individual capacities,and should enlarge those areas by becoming acquaintedwith the wider areas which surround his own nucleusof knowledge.

i) What does the expression 'that resounding title'refer to in the passage ?

ii) Who, according to the speaker of the passage, canlay claim to being an educated person ?

iii) What, according to the pedants, is the aim of highereducation ?

iv) What, according to the speaker, happens to personswho know everything about something ?

v) How long the learning process continues with aneducated person ?

3. Write a paragraph on any one of the following within150 words : 12

i) Impact of Cinema on the Youth

ii) Poverty has no caste barrier

iii) No pain no gain.

4. Summarise the passage given in question No.2 andsupply a suitable title to it. 12

[ 4 ]

c) Change the voice : 5

i) They must do it at once.

ii) Did the policeman catch the thief ?

iii) These boys stole my watch.

iv) He was made general.

v) English is spoken all over the world.

d) Do as directed : 5

i) He is a very renowned man.(Replace the word underlined with a synonym)

ii) Menaka is cruel to animals.(Use an antonym for the word underlined)

iii) You _____ (must / will) not make a noise inthe class. (Choose the correct modal)

iv) They arrived late. (Add a tag-question)

v) How _____ (dare/can) you ride a cyclewithout brakes ? (Fill in the blank with

correct answer given in the brackets)

2. Go through the following passage and answer thequestions on the basis of it. 10

The expression "an educated person" might be takento apply to an individual who, being possessed ofaverage intelligence, application and memory, has

devoted several years of his or her life to the acquisitionof general knowledge. It would not be within suchnarrow confines that I should use the expression, sincea moment's examination of this definition proves it tobe wholly unsatisfactory. What, for instance, is meantby 'several years' ? Does it mean the years betweenthe ages of five and fourteen, or the years between theages of five and twentyone ? Assuredly it meansnothing of the sort, since a person who ceases to educatehimself at any age is not, in my sense of the word, aneducated person. Only those can lay claim to thatresounding title who continue to learn and learn untilthey are nailed in their coffins. What again, is meantby 'general knowledge' ? The pedants have assured usthat the aim of all higher education is to knowsomething about everything and everything aboutsomething. Much as I envy and admire those rarepeople who are in fact capable of these extremes ofeducation, I should regard them, not so much as personsof exceptional education but rather as sports or freaks,akin to lightning calculators, who have been endowedby nature with extraordinary minds. No normal personcan possibly know something about everything andeven those who know everything about somethingbecome incapable of elastic thought and are contortedinto unnatural shapes which recall the masterpieces ofthe topiarist's art. The normal human being who aspires

V-191 [Turn Over

[ 3 ][ 2 ]

5. Answer any four of the following : 5 × 4i) What does Abdul Kalam say about his interest in

Tamil ?ii) How was Capra dressed on the occasion of

attending the concert ?iii) How does Capra characterise classical Indian

dance ?iv) What impresses the Boss most at Shamnath's

house and why ?v) How does the American Boss treat his Indian

hosts ?vi) How can 'collective art' be promoted ?

6. Critically appreciate any one of the followingpoems : 16

i) "The unknown citizen"ii) "Sonnet No.116"

iii) "Three Years She Grew".

7. Annotate either one with reference to the context. 10

The land's sharp features seemed to beThe Century's corpse outleant,

His crypt the cloudy canopy,The wind his death-lament.

The ancient pulse of germ and birthWas shrunken hard and dry,

And every spirit upon earthSeemed fervouless as I.

OR

"Let him be rich and weary, that at least,If goodness lead him not, yet weariness

May toss him to my breast".

V-191-0.8

[ 6 ] [ 5 ]

V-191 [Turn Over

I-UG-Soc(EL-A)-I



1. Define Sociology and discuss its scope.

OR

Discuss the subject matter of sociology.

2. Discuss the functional prerequisites of society.

OR

Define primary group and discuss its characrteristics.

3. Discuss briefly the relationship between individualand society.

OR

Define socialization and discuss the different stagesof socialization.

4. Define social stratification and discuss itscharacteristics.

OR

Define social mobility and discuss its various forms.

V-145 [Turn Over

5. Write a note on authority.

OR

"Education brings social change". Explain.

V-145-0.8

[ 2 ]

I-UG-Psy(EL-A)-I



1. Define experimental method and discuss its advantagesand disadvantages. 5+15

OR

Describe the structure and function of the centralnervous system. 6+14

2. What is conciousness ? Discuss the extended states ofconciousness. 5+15

OR

What is perception ? Discuss the Gestalt principles usedin perceptual organization. 5+15

3. What is learning ? Discuss I.P. Pavlovs classicalconditioning. 5+15

OR

What is memory ? Discuss different factors responsiblefor improving memory. 5+15

V-146 [Turn Over

4. Define motivation and discuss different theories ofmotivation. 5+15

OR

Critically evaluate the activation theory ofemotion. 5+15

5. Define creative thinking and discuss thinking as aproblem solving behaviour. 5+15

OR

What is personality ? Discuss different methods forassesment of personality. 5+15

V-146-0.6

[ 2 ]

I-PG-Odia-III(Reg/Back)



1. "þœÿ{¯ÿæ™ ÿD†ÿçÉæ'{Àÿ ÓóÓæÀÿÀÿ AÓæÀÿ†ÿ Lÿç Àÿç ÷Lÿsç†ÿ {ÜÿæBdçAæ{àÿæ`ÿœÿæ LÿÀÿ > 12

A$¯ÿæ"{LÿÉ¯ÿ {LÿæBàÿç' Lÿ¯ÿç†ÿæ A¯ÿàÿºœÿ{Àÿ ¾{Éæ’ÿæZÿ þ{œÿæµÿæ¯ÿœÿæ¯ÿç{ÉÈÌ~ LÿÀÿ >

2. ¨vÿç†ÿ Lÿ¯ÿç†ÿæ A¯ÿàÿºœÿ{Àÿ {Sæ¨æÁÿLõÿÐZÿ µÿNÿçµÿæ¯ÿÀÿ Àÿç ÿß ÷’ÿæœÿLÿÀÿ > 12

A$¯ÿæ"Öë†ÿç `ÿç;ÿæþ~ç'Àÿ ¨vÿç†ÿæóÉÀÿë µÿêþ{µÿæBZÿ AæšæŠçLÿ `ÿç;ÿæ™æÀÿæD{àÿâQ LÿÀÿ >

3. {¾ {Lÿò~Óç ’ëÿBsçÀÿ Ó ÷Óèÿ ÓÀÿÁÿæ$ö {àÿQ : 4 × 2Lÿ) `ÿç†ÿ÷ ÷†ÿçþæ ÷æ{ß ’ÿçÉë Óë¢ÿÀÿ

`ÿçÀÿç µÿç†ÿ{Àÿ {’ÿQ Lÿç œÿæÀÿQæÀÿ{Àÿ >Q) üÿÁÿç ÿæLëÿ ¯ÿÁÿ œÿæÜÿ] {þæÀÿ

üÿÁÿç ÿæÀÿ üÿÁÿ Sàÿæ ¯ÿÓë{’ÿ¯ÿ ëÀÿ {àÿæ >

V-129 [Turn Over

S) {’ÿQ#d †ÿ Üÿæ{’ÿ ¯ÿçœÿæ A¯ÿÓæ{’ÿþ¢ÿÀÿ SçÀÿçLÿç {sLÿç$#àÿæsç >

W) œÿ ¨æo{;ÿ üÿÁÿ D ëfëdç QÁÿ É{†ÿ¯ÿæÀÿ ¯ÿÓç Üÿæs >{¾{Üÿ§ f{Áÿ þêœÿ ™ê¯ÿÀÿ{Àÿ ë~ ¯ÿçœÿæ {’ÿæ{Ì ÜëÿF œÿÎ >

4. {¾ {Lÿò~Óç `ÿæÀÿçsçÀÿ Óóäç© DˆÿÀÿ {àÿQ : 2 × 4

Lÿ) œÿçÉæ LÿæÁÿ{Àÿ ÜÿÀÿç Lÿ'~ þæS;ÿç ?

Q) þàÿæ{¯ÿ{Áÿ {Lÿ{†ÿQƒç Lÿævÿ {àÿæÝæ {Üÿ¯ÿ ?

S) ¯ÿÝµÿæB LÿæÜÿævÿæÀëÿ A™#Lÿ ¯ÿæB ?

W) LÿçF äêÀÿ ÓÜÿç†ÿ {LÿDô AÓëÀÿêÀÿ ÷æ~ {œÿB$#{àÿ ?

Yÿ) LÿæÜÿæÀÿ LÿçZÿÀÿê {ÜÿæB ÿ÷fSæô{Àÿ WÀÿ LÿÀÿç ÿæLëÿ LëÿÜÿæ¾æBdç ?

`ÿ) µÿêþ{µÿæB {LÿDô {¯ÿæàÿç{Àÿ †ÿçœÿçÉ†ÿ ¨’ÿ Àÿ`ÿœÿæ LÿÀÿçd;ÿç ?

d) Ws dësç{àÿ {LÿDôþæ{œÿ {’ÿÜÿ LÿçÁÿæD$#{¯ÿ ?

f) {þæ†ÿç þæ~çLÿ¿Àÿ üÿÁÿ {LÿDôvÿç |ÿÁëÿ$#àÿæ ?

V-129-0.6

[ 2 ]

I-PG-Phy-III



1. a) Prove that the adjoint of adjoint of a linear operatoris the linear operator itself. 4

b) A and B are two hermitian operators

ˆ ˆˆA, B 1C

Show that C is hermitian. 4

c) Using n n n n nn

ˆC and Q q ,

evaluate the expectation value of observableQ in the state . 2

d) Briefly discuss about degeneracy. 4

e) Derive an expression for momentum operator inposition space. 6

OR

Discuss time evolution of quantum system in terms ofInteraction parameter and hence derive the equationof motion. 20

V-131 [Turn Over

2. a) Derive commutation relation

ˆ ˆ ˆ ˆL , L and L , L 3+3

b) Write Pauli Spin matrices and discuss theirproperties. Show that these matrices statisfy thefollowing relation

i j ij ijk ki . 10

c) Obtain the eigenvalues and eigenvectors of the

Pauli spin matrix z1 00 1

4

OR

What are C.G. coefficient ? Mention their properties.Obtain C.G. coefficients for addition of two commutingangular momenta 1 2

ˆ ˆj and j with j = 1 and 12 2j . 20

V-131-0.3

[ 2 ]

V-UG-PG-13-2.pmd[ 244 ]

I-PG-Pol.Sc-III(Back)



1. Discuss the factors for the decline of Political Theoryin the modern age. 16

OR

What is Positivism ? Make a critical assessment onPositivism.

2. Give your arguments in favour of 'End of Ideology'. 16

OR

What is Post-Modernism ? Discuss the impact ofPost-Modernism in the Political Theory.


a) Resurgence of Political Theory

b) Historicism

c) Green's view on Liberalism

d) Modernism.

V-130-0.5

I-UG-Com(C)-I (B.Eco)(Back)



1. Analyse the basic problems of an economy withsuitable diagrams. 16

ORDiscuss the various concepts of elasticity of demand.Outline the importance of elasticity of demand ineconomic theory.

2. Explain the Laws of Returns to scale with the help ofdiagrams. 17

ORWhat do you mean by economies of scale ? Explainvarious internal and external economies of scale.

3. Explain in detail the various goals or objectives of abusiness firm. 17

ORExplain the conditions necessary for the existence ofperfect competition. How prices are determined underperfect competition ?

V-192-0.5

I-PG-Math-III (NC)




1. a) Let {v1, v2,..... vm} be a basis of a vector space Vover a field F. If vectors u1, u2, ..... un are linearlyindependent in V, then show that n m. 4

b) Find the rank and nullity of the matrix

0 3 1 2 62 1 2 1 3A 2 3 0 4 1

1 1 2 2 3

4

OR

c) Solve the following system of equation over R bythe method of Gaussian elimination :

x1 – 2x2 – x3 = 2

2x1 + x2 – 2x3 = 9

3x1 + 6x2 + x3 = 16. 4

V-132 [Turn Over

5. a) Let V be an inner product space and W be asubspace which has some finite orthogonal basis.If PW(v) is the orthonormal projection of a vectorv V on the subspace W, then show thatv – PW(v) W. 4

b) Find an orthonormal basis of the column space ofthe matrix

1 0 2 1 41 2 1 0 4A 0 2 3 1 2

2 1 0 3 3

considered a subspace of R4 with the standardinner product. 4

OR

c) Let T be a linear operator on an inner product spaceV over C. Then show that T is unitary if and onlyif the adjoint T* of T exists and TT* = T*T = I,where I is the identity map on V. 4

d) Show that for every a R, the matrix2

22

2

1 2a 2a1A 2a 1 2a 2a

1 2a 2a 2a 1

is orthogonal. 4

V-132-0.6

[ 4 ]

d) Let V be a finite dimensional vector space withbases B and B'. for any v V, let x and x' be thecoordinate vectors of v with respect to basesB and B', respectively. Then show that x' = P–1x,where P is the transition matrix from the basis B'to the basis B. 4

2. a) Let V and W be vector spaces over a field F andlet T : V W be a linear map. Then show that

V kerT Im(T)

In particular, if T : V W is an onto linear map,then V kerT W. 4

b) Prove that similar matrices in Mn(F) have the samecharacteristic polynomial. 4

OR

c) Let A, B Mn(F), and In the identity matrix inMn(F). Prove that the matrix In – AB is invertibleif and only if In – BA is invertible. 4

d) Determine the eigenvalues of the matrix

12

3 2 1 00 1 0 10 2 1 00 0 0

4

3. Let T be a linear operator on a finite-dimensional vectorspace V over a field F such that the characteristicpolynomial of T factors into a product of linear factorsover F. Then show that T determines its Jordan form Auniquely upto the order in which the eigen values of Tappear inside A. 8

OR

Find the Jordan form and rational canonical form ofthe matrix

1 1 11 1 1

1 0 2

over R. 8

4. Let f be a symmetric bilinear form on a finite-dimensional vector space V over a field F, whereCh F 2. Then show that there is an orthogonal basisof V relative to the symmetric form f. 8

OR

For the quadratic form Q, where 2 2

1 2 3 1 3 1 2 1 3 2 3,Q x , x , x 2x 2x 2x x 2x x 4x x determine a change of coordinates which will eliminatethe cross-product terms in Q; also express Q in termsof the new coordinates and determine the rank andsignature of Q. 8

V-132 [Turn Over

[ 3 ][ 2 ]

I-PG-Math-III (OC)




1. a) Let X be an ordered set in the order topology; letY be a subset of X that is convex in X. Then showthat the order topology on Y is the same as thetopology Y inherits as a subspace of X. 9

b) Let f : A X × Y be given by the equation

f(a) = (f1(a), f2(a)).

Then show that f is continuous if and only ifthe functions f1 : A X and f2 : A Y arecontinuous. 8

OR

c) Let {X} be an indexed family of spaces ; LetA X for each . If X is given either theproduct or the box topology, then show that

A A . 9

V-132(A) [Turn Over

d) i) Show that the product of two Hausdorff spacesis Hausdorff. 4

ii) Show that a subspace of a Hausdorff space isHausdorff. 4

2. a) Prove that a finite Cartesian product of connectedspaces is connected. 9

b) Show that a finite union of compact subspace ofX is compact. 8

OR

c) Let A be an open covering of the metric space(X, d). If X is compact, then show that there is a > 0 such that for each subset of X havingdiameter less than , there exists an element ofA containing it. 9

d) Prove that every compact subspace of a Hausdorffspace is closed. 8

3. a) Suppose that X has a countable basis. Then showthat 8

i) Every open covering of X contains a countablesubcollection covering X.

ii) There exists a countable subset of X that isdense in X.

b) Prove that every regular space X with a countablebasis is metrizable. 8

OR

c) Let X be a compact Hausdorff space. Show thatX is metrizable if and only if X has a countablebasis. 8

d) Let X be a topological space. Let one-point setsin X be closed. Show that 8

i) X is regular if and only if given a point x of Xand a neighbourhood U of x, there is aneighbourhood V of x such that V U.

ii) X is normal if and only if given a close set Aand an open set U containing A, there is anopen set V containing A such that V U.

V-132-(A)-0.2

[ 3 ][ 2 ]

I-PG-Com-III (AFMD)



1. a) Define "Management Accounting". Explain howdoes it differ from "Financial Accounting". 6½

b) Discuss the importance of "ManagementAccounting" for managerial decision making. 6½

OR

"Financial Accounting is to keep record and reportwhere as the Cost Accounting and ManagementAccounting uses such record and report". Discuss. 13

2. Following are the budget estimates of a repairs andmaintenance department, which are to be used toprepare the flexible budget for the ensuing year :Details of Cost Planned at 6000 Planned at 9000

Direct Hours Direct Hours` `

Employee Salary 28000 28000Indirect repair material 42000 63000Miscellaneous cost 16000 20500

V-133 [Turn Over

a) Prepare a flexible budget for the department, uptoactivity level of 10,000 direct repair hours, usingincrement of 1000 hou` 8

b) What would be the budget allowance for 9500direct repair hours ? 5

ORDiscuss the essentials of good budgetary controlsystem. Explain briefly the steps in setting up abudgetary control system so that its working efficiencyis ensured. 13

3. Compare Standard Costing with Budgetary Control andbring out the similarity or difference between the two.Give example to support your answer.

ORThe following informations are available in respect ofa product - 'Y' :Standard output 1200 unitsActual output 1000 unitsStandard quantity forstandard output 1200 kgActual Quantity used 1100 kgStandard price `7.00 per kgActual price `7.50 per kgCalculate different material cost variance. 14

V-133-1

[ 2 ]

I-UG-MIL(O)-I (Sc)(Reg/Back)



1. Lÿ) "¯ÿçjæœÿ H ’ÿÉöœÿ ¨ÀÿØÀÿ ¨Àÿç íÀÿLÿ' - ¨vÿç†ÿ ¨÷ ÿ¤ÿAœëÿÓÀÿ~{Àÿ Aæ{àÿæ`ÿœÿæ LÿÀÿ > 10

A$¯ÿæ¨vÿç†ÿ ÷ ÿ¤ÿ Aæ™æÀÿ{Àÿ Óæ™êœÿ†ÿæÀÿ œíÿ†ÿœÿ þíàÿ¿{¯ÿæ™SëÝçLÿ¯ÿç{ÉÈÌ~ LÿÀÿ >

Q) Ó ÷Óèÿ ÓÀÿÁÿæ$ö {àÿQ : 5{dæs {ÜÿD ÿæ ¯ÿÝ {ÜÿD, ÉêÌö†ÿ ¨æB{àÿ {Ó$#{Àÿ AÜÿZÿæÀÿ,A™#LÿæÀÿ, Óæ$ö Àÿ†ÿæ, ä æ†ÿç†ÿæ ÷µõÿ†ÿçÀÿ ÷{àÿæµÿœÿ Adç B Adç >

A$¯ÿæAæþ {’ÿÉ H fæ†ÿç {¾Dô’ÿçœÿ vÿçLúÿ Óþß{Àÿ Lÿæþ LÿÀÿç ÿæ¨æBô É¨${œÿ¯ÿ, {Ó’ÿçœÿ A{œÿLÿ ’ëÿœÿöê†ÿç Aæ{¨ Aæ{¨ œÿÎ{ÜÿæB¾ç ÿ >

2. Lÿ) "’ëÿ{¾ö¿æ™œÿÀÿ ÀÿNÿœÿ’ÿê Ó;ÿÀÿ~' Lÿ¯ÿç†ÿæÀëÿ ç†õÿ Üõÿ’ÿßÀÿ LÿÀëÿ~Aµÿç ÿ¿Nÿç ÷LÿæÉ LÿÀÿ > 10

A$¯ÿæ

V-151 [Turn Over

"Ó ö f~æ~' Lÿ¯ÿç†ÿæ µÿNÿç H ¯ÿ¿æfÖë†ÿçÀÿ þ™ëÀÿ Óþœÿß -Aæ{àÿæ`ÿœÿæ LÿÀÿ >

Q) Ó ÷Óèÿ ÓÀÿÁÿæ$ö {àÿQ : 5{þæÜÿÀÿ ¨Àÿæß ç†ÿæ {†ÿæÀÿ AæD {œÿæÜëÿ{†ÿæÜÿÀÿ ¨Àÿæß ë†ÿ÷ f{œÿ½ f{œÿ½ {ÜÿD >

A$¯ÿæ{¾{†ÿLÿ$#àÿæ S{µÿö Ýç, fê‚ÿö {Üÿ¯ÿæLëÿ {Üÿàÿ µÿçÝç†ÿçœÿç fS†ÿ¾æ{Lÿ fæ~ç †ÿ $#{¯ÿ {àÿæ{Lÿ {Ó †ÿÀëÿ ¾ç ÿæÀÿ D ëÝç >

3. "œÿêÁÿþæÎ÷æ~ê' SÅÿÀëÿ {àÿQLÿZÿ Óþæf ÓóÔÿæÀÿ þ{œÿæ¯õÿˆÿçÀÿ Àÿç ÿß’ÿçA > 10

A$¯ÿæ"ÉçLÿæÀÿ' SÅÿ{Àÿ ÷S†ÿç ÿæ’ÿê {`ÿ†ÿœÿæ Lÿç Àÿç ÷†ÿçüÿÁÿç†ÿ {ÜÿæBdçAæ{àÿæ`ÿœÿæ LÿÀÿ >

4. {Lÿò~Óç {SæsçLÿÀÿ µÿæ¯ÿ Óó ÷ÓæÀÿ~ LÿÀÿ : 10Lÿ) `ÿæàÿç œÿ fæ~ç ¯ÿæsÀÿ {’ÿæÌ >Q) ™êÀÿ ¨æ~ç ¨$Àÿ Lÿæ{s >S) LÿÜÿç fæ~ç{àÿ Lÿ$æ Óë¢ÿÀÿ >

V-151-1.8

[ 2 ]

I-UG-MIL(Hn)-I (Sc)




1. g§jonU Ho$ ñdê$n na àH$me S>mbVo hþE EH$ CËH¥$ï> g§jonU Ho$ _w»`JwUm| na àH$me S>m{bE Ÿ& 10

AWdm

{ZåZ{b{IV AZwÀN>oX H$m g§jonU H$s{OE :

{H$gr Xoe H$s g§ñH¥${V OmZZo Ho$ {bE dhm± Ho$ gm{hË` H$m nyam AÜ``Z{ZVm§V Amdí`H$ h¡ Ÿ& gm{hË` {H$gr Xoe VWm Om{V Ho$ {~H$mg H$m{M• h¡ Ÿ& gm{hË` go Cg Om{V Ho$ Ym{_©H$ {dMmam|, gm_m{OH$ g§JR>Z,Eo{Vhm{gH$ KQ>ZmMH«$ VWm amOZr{VH$ n[apñW{V`m| H$m à{Vq~~ {_bOmVm h¡ Ÿ& ^maVr` g§ñH¥${V Ho$ _yb AmYma h_mao gm{hË` Ho$ J«§W-aËZh¢, {OZHo$ {dMmam| go ^maV H$s Am§V[aH$ EH$Vm H$m kmZ hmo OmZm h¡ Ÿ&h_mao Xoe H$s ~mhar {~{dYVm ^maVr` ~m§L²>_` Ho$ ê$n _| ~hZodmbr{dMma Am¡a g§ñH¥${V H$s EH$Vm H$mo T>H$ boVr h¡ Ÿ& dmL²>_` H$s AmË_mEH$ h¡, na dh AZoH$ ^mfmAm|, ê$nm| VWm n[apñW{V`m| _| h_mao gm_ZoAmVr h¡ Ÿ&

V-153 [Turn Over

iii) Kr ImB© OmVr h¡ Ÿ&

iv) VoaoH$mo Š`m Mm{hE ?

v) CgZo Mm` nr {b`m Ÿ&

vi) Jm‹S>r H$s n{h`m Qy>Q> JB© Ÿ&

vii) Hw$g§J H$s Áda g~go ^`mZH$ hmoVr h¡ Ÿ&

viii) dh CgHo$ Ka _| h¡ Ÿ&

V-153-0.5

[ 4 ]

2. nëbdZ H$hZo go Amn Š`m g_PVo h¡ ? nëbdZ H$aVo g_`{H$Z-{H$Z ~mVm| H$m Ü`mZ aIZm Mm{hE Ÿ& 10

AWdm{H$gr EH$ H$m nëbdZ H$s{OE :H$) AY Ob JJar N>bH$V Om` Ÿ&

I) {_Ì dh Omo g_` na H$m_ AmE Ÿ&J) gmXm OrdZ Cƒ [dMma Ÿ&

K) n[al_ hr g\$bVm H$s Hw§$Or h¡ Ÿ&

3. H$) {ZåZ{b{IV _o| go {H$Ýht nm±M qhXr eãXm| H o$ A§J«oOr ê$n{b{IE Ÿ& 1 × 5

~H$m`m, à_mUnÌ, amO^mfm, amOñd, AÜ`mXoe, àemgZ,_§Ìr_§S>b, nÌmMma Ÿ&

I) {ZåZ{b{IV _| go {H $Ýht A§J« oOr eãXm| H o$ qhXr ê $n{b{IE : 1 × 5

Budget, Tender, Consumer, Under Secretary,Reception, Cancel, Suspend, Academic.

4. {ZåZ _whmdam| Am¡a bmoH$mo{º$`m| _| go {H$Ýht nm±M H$m AW© ~VmH$admŠ`m| _| à`moJ H$s{OE : 5 × 2

i) B©X H$m Mm±X hmoZm

ii) Zm¡ Xmo ½`mah hmoZm

iii) ZmH$ aJ‹S>Zm

iv) Cëby ~ZmZm

v) A§Ym| _| H$mZm amOm

vi) Mmoa-Mmoa _m¡goao ^mB©

vii) H$mbm Aja ¢g ~am~a

viii)hmW H§$JZ H$mo Amagr Š`m Ÿ&

5. H$) {H$Ýht nm±M AZoH$ eãXm| Ho$ {bE EH$ eãX {b{IE Ÿ: 1 × 5

i) OrZo H$s BÀN>m

ii) Omo H¥$Vk Z hmo

iii) Omo XoIZo _| {à` bJVm h¡

iv) e{º$ Ho$ AZwgma

v) _aU VH$

vi) Zm¡ aËZm| H$m g_yh

vii) {dîUw H$m CnmgH$

viii) H$ënZm go nao Ÿ&

I) {H$Ýht nm±M dmŠ`m| H$mo ewÕ H$a {b{IE : 1 × 5

i) grVm gm±n H$mo S>aVr h¡ Ÿ&

ii) CgZo AnZo ~‹S>o ^mB© H$s ~mV _mZ {b`m Ÿ&

V-153 [Turn Over

[ 3 ][ 2 ]

I-UG-MIL(Alt.Eng)-I (Sc)(Back)



1. Write a feature on increased incidents of violence onwomen in Odisha. 10

ORPrepare a feature on corruption in high places in thepresent day bureaucratic set up. 15

2. Prepare a report on an interview that you recently facedin a multinational company for the post of a computeranalyist.

ORMr. K. Mohan was recently interviewed for the post ofa bank clerk by an interview board comprising of theChairman and two other members. Prepare a reportassuming yourself to be K. Mohan.

3. Fill up the blank spaces by selecting the right wordsgiven in the brackets : 15i) When he arrived at the stadium the match _____

(ended / had ended)

ii) Last week I _____ to office everyday.(walked / was walking)

iii) Galileo said that the earth _____ round the Sun.(moves / moved)

iv) I _____ my hand when the telephone rang.(washed / was washing)

v) Going abroad is _____ unique opportunity.(a / an)

vi) My father is _____ M.A. in English. (a / an)vii) The workers formed _____ union. (a / an)viii) He is _____ historian of international repute.

(a / an)ix) He came to college _____ his motor bike.

(on / by)x) Please pay me _____ cash. (in / by)xi) Egg is sold in the market _____ dozens. (by / in)xii) This library is open _____all (for/to)xiii) _____ you pass me the salt please ? (can / could)xiv) It _____ rain today. (may / might)xv) You _____ smoke. (mustn't / needn't)

4. Justify the title of the drama "All my sons". 10OR

Discuss "All my sons" as a reform motivated play ofthe modern society.

V-152-0.7

[ 2 ]

V-152 [Turn Over

I-UG-ODI(El-B)-I(Reg/Back)



1. Lÿ) ""¾æÜÿæ œÿæÜÿ] µÿæÀÿ{†ÿ †ÿæÜÿæ œÿæÜÿ] µÿæÀÿ{†ÿ'' - DNÿçÀÿ ¾$æ$ö†ÿæ¯ÿç ÿæÀÿ LÿÀÿ > 20

A$¯ÿæD{¨¢ÿ÷ ÓõÎç-Óó¨’ÿ Aæ™æÀÿ{Àÿ HÝçAæ Àÿê†ÿç¾ëS ÓæÜÿç†ÿ¿Àÿ÷þëQ ÷ õÿˆÿçSëÝçLÿ Aæ{àÿæ`ÿœÿæ LÿÀÿ >

Q) {¾ {Lÿò~Óç {SæsçLÿÀÿ Óóäç© DˆÿÀÿ {àÿQ : 5i) àÿä½ê œÿæÀÿæ{ß~ê ¯ÿ`ÿœÿçLÿæii) †ëÿÁÿæµÿç~æiii) {¯ÿð{’ÿÜÿêÉ ¯ÿçÁÿæ >

2. Lÿ) Sèÿæ™Àÿ {þ{ÜÿÀÿZÿ Àÿ`ÿœÿæÀëÿ ÷æ`ÿ¿ ÓóÔõÿ†ÿçÀÿ ¨Àÿç ÿß ÷’ÿæœÿLÿÀÿ > 20

A$¯ÿæÓ†ÿ¿¯ÿæ’ÿê ¾ëS ÓæÜÿç†ÿ¿Àÿ õÏµíÿþç Óó¨Lÿö{Àÿ Aæ{àÿæLÿ¨æ†ÿLÿÀÿ >

V-158 [Turn Over

Q) {¾ {Lÿò~Óç {SæsçLÿÀÿ Óóäç© DˆÿÀÿ {àÿQ : 5i) `ÿçàÿçLÿæii) {Àÿ¯ÿ†ÿêiii) Àÿæþ`ÿƒê{Àÿ ÓLÿæÁÿ >

3. Lÿ) ""{¯ÿðLëÿ=ÿœÿæ$ "Ó¯ëÿf' A{¨äæ {¯ÿÉç ™íÓÀÿ'' - Lÿ¯ÿçLõÿ†ÿçµÿç ÿç{Àÿ þ;ÿ¯ÿ¿Àÿ Óþê`ÿêœÿ†ÿæ ¯ÿç ÿæÀÿ LÿÀ ÿ> 20

A$¯ÿæAœÿ;ÿ ¨tœÿæßLÿZÿ Lÿ¯ÿç†ÿæÀëÿ Óæþ¿¯ÿæ’ÿê ÓÀÿ H ÓüÿÁÿ†ÿæ÷†ÿç æ’ÿœÿ LÿÀÿ >

Q) {¾ {Lÿò~Óç {SæsçLÿÀÿ Óóäç© DˆÿÀÿ {àÿQ : 5i) þæsçÀÿ þ~çÌii) ¯ÿæÓ;ÿêiii) {dæs {þæÀÿ Sæô'sç >

4. Lÿ) HÝçAæ µÿæÌæÀÿ DŒˆÿç Óó¨Lÿö{Àÿ FLÿ œÿæ†ÿ ç’ÿêWö ÷¯ÿ¤ÿ{àÿQ > 20

A$¯ÿæAµÿç{àÿQþæœÿZÿ{Àÿ ¯ÿ¿¯ÿÜÿ õ†ÿ µÿæÌæ{Àÿ HÝçAæ µÿæÌæÀÿ¯ÿçLÿæÉþæœÿ àÿä~þæœÿ œÿç{”öÉ LÿÀÿ >

Q) {¾ {Lÿò~Óç {SæsçLÿÀÿ Óóäç© DˆÿÀÿ {àÿQ : 5i) HÝçAæ É±ÿ µÿƒæÀÿÀÿ ¯ÿçµÿæSêLÿÀÿ~ >ii) HÝçAæ µÿæÌæ{Àÿ ¯ÿ¿¯ÿÜõÿ†ÿ A•ö†ÿûþ É±ÿ >iii) HÝçAæ µÿæÌæ{Àÿ ¯ÿ¿¯ÿÜÿõ†ÿ BóÀÿæfê É±ÿ >

V-158-0.7

[ 2 ]

I-UG-Pol.Sc(EL-B)-I(Back)


The questions are of of equal valueAnswer all questions

1. Discuss the significance of the study of PoliticalScience.

OR

Examine the Traditional approaches to the study ofPolitical Science.

2. Discuss Divine Origin Theory of the Origin of thestate.

OR

Analyse Liberal Theory regarding nature and functionof the state.

3. Critically examine Austin's Theory of Sovereignty.

OR

Define law and discuss various sources of law.

V-157 [Turn Over

4. What do you mean by Liberty ? Discuss types of liberty.

OR

Explain Theory of Rights.

5. Discuss the role of Civil Society in modern days.

OR

What is Feminism ? Discuss its features.

V-157-2.6

[ 2 ]

V-UG-PG-13-2.pmd[ 258 ]

I-UG-Hindi(EL-B)-I



1. {H$Ýht VrZ AdVaUm| H$s gàg§J ì`m»`m H$s{OE : 10 × 3

H$) ahZm Zqh Xog {damZm h¡ h¡ Ÿ&`h g§gma H$mJX H$s nw{‹S>`m, ~y§X n‹S>o Kwb OmZm h¡ Ÿ&`h g§gma H$m±Q>H$s ~m‹S>r, CbP-nwbP _[a OmZm h¡ Ÿ&&`h g§gma Pm±‹S> Am¡a Pm±Ia, AmJ bJo ~[a OmZm h¡ Ÿ&H$hV H$~ra gwZmo ^mB© gmYmo, gVJwé Zm_ {R>H$mZm h¡ Ÿ&&

I) _oamo _Z AZV H$hm± gwI nmd¡ Ÿ&O¡g| C{‹S> OhmO H$m¡ n§N>r, {\$[a OhmO na Amd¡ Ÿ&H$_b-Z¡Z H$m¡ N>m±{‹S> _hmV_, Am¡a Xod H$m¢ Ü`md¡ Ÿ&na_ J§J H$m¢ N>m±{‹S> {n`mgm¡ Xwa_{V Hy$n IZmd¢ Ÿ&

J) H$mo{Q> OVZ H$moD$ H$am¡, na¡ Z àH¥${Vqh ~rM Ÿ&Zb-~b Ob D±$Mo M‹T>¡, VD$ ZrM H$m ZrM Ÿ&&

K) g{I, ~g§V-go H$hm± J o do, _¢ D$î_m-gr `hm± ahr Ÿ&

_¢Zo hr Š`m ghm, g^r Zo _oar ~mYm-ì`Wm ghr Ÿ&

V-159 [Turn Over

O) _hmdra àgmX {ÛdoXr H$s _¥Ë w H$~ hþB© Wr ?

P) "H$mì` _§Oyfm' {H$gH$s aMZm h¡ ?

Äm) {H$g gm{hË`H$ma Zo I‹S>r~mobr qhXr Ho$ àMma-n«gma Ho$ {bEOrdZ ^a AmÝXmobZ {H$`m Wm ?

V-159-0.4

[ 4 ]

L>) l_-{dlm_ {j{VO-~obm go...Ohm± g¥OZ H$aVo _obm...A_a OmJaU Cfm Z`Z go....{~IamVr hmo Á`mo{V KZr ao.... Ÿ&

M) yI go gyI hmoR> O~ OmVoXmVm-^m½` {dYmVm go Š`m nmVo ?�Ky±Q> Am±gwAm| Ho$ nrH$a ah OmVo Ÿ&

2. "{dZ` n{ÌH$m' _| {M{ÌV Vwbgr H$r ^{º$-^mdZm H$s MM©mH$s{OE Ÿ& 20

AWdm

{~hmar Zo AnZo Xmohm| _| "JmJa _| gmJa â {X`m h¡' � Bg H$WZ H$sgmW©H$Vm na àH$me S>m{bE Ÿ&

3. "{^jwH$' H${dVm H$m à{VnmÚ ñnï> H$s{OE : 20

AWdm

"èmoYam Ho$ {dah JrV' Ho$ AmYma na èmoYam Ho$ {dah H$m dU©ZH$s{OE Ÿ&

4. {H$Ýht Mma àíZm| Ho$ g§{já CÎma Xr{OE : 5 × 4

H$) H$~ra Xmg Zo _m`m H$mo "_hmR>JZr' Š`m| H$hm h¡ ? g_PmH$a{b{IE Ÿ&

I) "A~ _o ZmÀ`m¡ ~hþV Jwnmb' H$hH$a gya Zo gm§gm[aH$ OrdZ Ho$à{V H¡$gm {damJ ì`º$ {H$`m h¡, Cm„oI H$s{OE Ÿ&

J) H${d Zm{dH$ H$mo H$hm± bo MbZo H$mo H$h ahm h¡� Cg ñWmZ H$mdU©Z H$s{OE Ÿ&

K) {~hmar H$s {H$gr EH$ Zr{V H$s MM©m H$s{OE Ÿ&

L>) "n§W hmoZo Xmo An[a{MV' H${dVm _| _hmXodr {H$g n§W H$s Am¡ag§Ho$V H$aVr h¡ ? g_PmH$a {b{IE Ÿ&

M) "èmoYam' {bIZo Ho$ nrN>o H${d H$m CÔoí` Š`m h¡ ? ñnï>H$s{OE Ÿ&

5. {ZåZ àíZm| Ho$ A{V g§{já CÎma Xr{OE : 1 × 10

H$) {H$go AmYw{ZH$ {hÝXr gm{hË` Ho$ OÝ_XmVm _mZm OmVm h¡ ?

I) "H${d dMZ gwYm' n{ÌH$m Ho$ g§nmXH$ H$m¡Z Wo ?

J) "^maV XwX©em' ZmQ>H$ {H$gZo {bIm h¡ ?

K) gw Ðm Hw$_mar Mm¡hmZ H$m OÝ_ H$hm± hþAm Wm ?

L>) "Pm±gr H$s amZr' H${dVm {H$gH$s aMZm h¡ ?

M) gw Ðm Hw$_mar Mm¡hmZ Ho$ {H$gr EH$ H$mì` g§H$bZ H$m Zm_{b{IE Ÿ&

N>) _hmdra àgmX {ÛdoXr {H$g n{ÌH$m Ho$ g§nmXH$ Wo ?

V-159 [Turn Over

[ 3 ][ 2 ]

I-UG-Edn(EL-B)-I(Back)



1. Define Education. Discuss its nature and scope.5+7½+7½

OR

Describe various functions of education. 20

2. What is meant by Philosophy ? Explain the relationshipbetween education and philosophy. 5+15

OR

Elucidate the contribution of Mahatma Gandhi toIndian education. 20

3. What is meant by curriculum ? Discuss the principlesof curriculum construction. 5+15

OR

Distinguish between the child centred curriculum andlife centred curriculum. 20

V-161 [Turn Over

4. What is meant by international understanding ? Statehow international understanding can be promotedthrough education. 5+15

OR

Explain the problems and methods of populationeducation. 20

5. What is meant by social change ? Illustrate the factorsresponsible for social change. 5+15

OR

Discuss education as an instrument of social change. 20

V-161-0.5

[ 2 ]

I-UG-Eng(EL-B)-I(Back)



1. How does Shakespeare explicate human life in "TheSeven Ages of Man" ?

OR

The vision displayed in Yeats "The Second Coming"is apocalyptic– Elaborate.

2. "Julius Caesar" is a study of history with powerfulflashes of dramatic poetry. Substantiate your answer.

OR

Give a character sketch of either Caesar or Brutus fromthe play "Julius Caesar".

3. Examine Ibsen's "A Doll's House" as a problem play.

OR

Throw light on the character of Nora in Ibsen's play."A Doll's House".

V-155 [Turn Over

4. Write short notes on any four of the following literaryterms/forms.

a) Tragedy

b) Metaphor

c) Sonnet

d) Paradox

e) Epic

f) Irony.

5. Annotate any two of the following with reference totheir context :

a) If winter comesCan spring be far behind ?

b) The best lack all convictionWhile the worst are full of passionate intensity.

c) Is it some more humble layFamiliar matters of today,Some natural sorrows, loss or pain,That has been and may be again.

V-155-0.5

[ 2 ]

I-UG-Phil(EL)-I (Back)(Back)



1. Prove that :

a) From two negative premises, no conclusion canbe drawn. 10

b) If one of the premises is particular then theconclusion must be particular. 10

OR

What is meant by 'Mood' of a syllogism ? Determinethe valid moods in the First Figure. 4+16

2. a) Distinguish between inference and implication. 10

b) Write notes on the following : 5+5

i) The use of ideograms in Symbolic Logic

ii) The use of symbols in Symbolic Logic

OR

V-194 [Turn Over

Put the following Boolean expressions into normalform : 10+10

a) (AB + A' C')' + B

b) (A + D)' (B + C')' + AD.

V-194-0.2

[ 4 ]

Explain with examples the following truth-functions :

a) The Disjunctive Function. 10

b) The Equivalence Function. 10

3. Construct truth-tables for the following expressionsand say which of them are tautologies : 5 × 4

a) ((p q) . p) q

b) ((p q) . ~ q) ~ p

c) (p . q) (p q)

d) (~ p q) (p q)

OR

Test the validity of the following expressions by thehelp of Indirect Truth-table method : 10+10

a) ((p q) . ~ q) ~ p

b) ((p q) r) ((r p) (s p))

4. Reduce the following expressions to CNF : 6+8+6

a) ((p q) . ~ q) ~ p

b) ((p q) . (q r)) (p r)

c) ((p q). ~ p) ~ q

OR

Test the validity of the following arguments by themethod of equivalent substitutions :

a) If John leaves the country, then it is false that heis both innocent and secure from arrest. If hesubmits to an audit of his books then he is innocent.If he is innocent then he is secure from arrest. Hewill submit to an audit of his books. Therefore,John will not leave the country. 10

b) i) H (D (A B))

ii) A S

iii) B R

iv) H . D

v) ~ R

Therefore : S. 10

5. Express the following propositions by appropriatequantifiers. 5 × 4

a) All men are selfish.

b) No crows are cows

c) Some men are dishonest

d) Some leaders are not liars.

OR

V-194 [Turn Over

[ 3 ][ 2 ]

I-UG-Sans(EL)-I (Back)



1. Ho$fm{#mV² Ì`mUm_² CÎma§ g§jonoU {bIV : 5 × 3

H$) amOdmhZ… bmoMZnéf§ nwéf§ {H$_² An¥ÀN>V² ?

I) dm_Xod… amOh§g§ {H$_ä`^mfV ?

J) {MÌJwá§ H$W§ _mV“_² A_w#mV² ?

K) _mV“… Ho$Z àH$maoU {Xì`m§ VZw_² Ab^V Ÿ?

L>) amOdmhZ… gmo_XÎm§ {dbmoŠ` {H$_² AH$amoV² ?

2. CËH$b^mf`m Am“b^mf`m dm AZwdmX… H$m ©… 5

gmo@{n _m_doú` {MÌJwá§ Zm_ {ZOm_mË`_mhÿ` V_dmoMV² g{Md,Z ¡f m o@_wî` _¥Ë` wg_`… Ÿ & {ZpÝXVM[aVmo@ß``§ _hrg wa {Z{_Îm §JVOr{dVmo@ yV² Ÿ&

AWdm

"~mbo, H$píMX² {Xì`XohYmar _mZdmo Zdmo ~ëb^ñVd yËdm gH$b§agmVb§ nmb{`î`{V' B{V Ÿ& VXmXoe§ {Zeå` KZeãXmoÝ_wIr MmVH$sdf©mJ_Z{_d VdmbmoH$ZH$mL²>{jUr {Ma_{Vð>_² Ÿ&

V-196 [Turn Over

_Yw - àW_m{ÛdMZo

Añ_X² - n#m_r~hþdMZo

_mV¥ - V¥Vr ¡H$dMZo

bVm - MVwÏ ¡©H$dMZo

^mZw - fð>r~hþdMZo

BX_² - ór{b“o gá_r~hþdMZo Ÿ&

I) n#mmZm§ YmVwê$nm{U {bIV : 1 × 5

nM² - b{L> àW_nwéf{ÛdMZo

H¥$ - bmo{Q> _Ü`_nwéf¡H$dMZo

Ag² - {d{Y{b{L> àW_nwéf~hþdMZo

hZ² - b{Q> _Ü`_nwéf{ÛdMZo

{Xd² - b{L> CÎm_nwéf~hþdMZo

nR²> - b¥{Q> CÎm_nwéf¡H$dMZo

y - bmo{Q> _Ü`_nwéf~hþdMZo

VZ² - b{Q> àW_nwéf¡H$dMZo Ÿ&

J) n#mmZm§ àH¥$qV àË``#m Xe© V : 1 × 5

_{V…, hmg…, J_Z_², {dYm`, nR>Z², yËdm, hÝVì`_²,H$aUr`_² Ÿ&

V-196-0.2

[ 4 ]

3. H$) Û`mo… gpÝY{dÀN>oX§ Hw$éV : 1 × 2

AW¡H$Xm, H${#mX{VH«$å`, é{MéXoî`{V, {H${_{V Ÿ&

I) Û`mo… g{dJ«h§ g_mgZm_Zr {bIV : 1½ × 2

Hw$_ma{ZH$aoU, ew e§Hw$Z_², XoemÝVa_², {d{hVnyOZ… Ÿ&

4. w{Y{ð>a§ à{V Ðm¡nÚm C{º$OmV§ dU© V Ÿ& 15

AWdm

Û¡VdZo dZoMa… w{Y{ð>am` qH$ qH$ {ZdoX`m_mg ?

5. gàg“§ ì`m»`mV : 10

VWm{n {O÷… g ^d{‚mJrf`mVZmo{V ew «§ JwUgånXm è… Ÿ&

g_wÞ`Z² y{V_Zm ©g“_mX²da§ {damoYmo@{n g_§ _hmË_{^… Ÿ&&

AWdm

d«OpÝV Vo _yT>qM`… nam^d§^dpÝV _m`m{dfw o Z _m{`Z… Ÿ&

à{dí` {h ¿ZpÝV eR>mñVWm{dYm-Zg§d¥Vm“m{Þ{eVm Bdofd… Ÿ&&

6. H$) n#m_àíZJVof w a oIm{‘>Vof w Û`m o… gH$maU§ {d^{º${ZU©`§Hw$éV : 1 × 2

è…, _hmË_{^…, _y‹T>{Y`…, _m`m{dfw Ÿ&

I) Ì`mUm§ àH¥${VàË``mZ² {bIV : 1 × 3

{dYmVw_², Xwb© _², {d{OË`, empÝV_², n[a «_Z² Ÿ&

7. g§ñH¥$VJr{VH$mì`gÝX ©o JrVJmo{dÝXñ ñWmZ§ d¡{eîQ>ç§ M AmH$b`V Ÿ&10

AWdm

à_wI_hmH$mì`mZm§ {df o Zm{VXrKª à~ÝY§ {bIV Ÿ&

8. am_mÙñ` aMZmH$mb§ {Zén`V Ÿ& 10

AWdm

_hm^maVñ` {dH$mgH«$__² AmbmoM`V Ÿ&

9. Û`mo… g§{já{Q>ßnUr àXo m : 5 × 2

n#mVÝÌ_², ~¥hËH$Wm, {hVmonXoe… Ÿ&

10. H$) n#mmZm§ ê$nm{U {bIV : 1 × 5

ZXr - {ÛVr`m~hþdMZo

am_ - MVwWu~hþdMZo

V-196 [Turn Over

[ 3 ][ 2 ]

I-UG-Soc(EL)-I (Back)(Back)




OR

'Sociology is a Science'. Comment.

2. Define Community and discuss its characteristics.

OR

Distinguish between primary group and secondarygroup with suitable examples.

3. Discuss briefly the relationship between individual andsociety.

OR

Define socialization and discuss its nature.

4. Define social stratification and discuss itscharaceristics.

OR

V-195 [Turn Over

Define social mobility and discuss its variousforms.

5. Write a note on authority.

OR

Discuss the effect of education on social change.

V-195-0.2

[ 4 ]

I-UG-Psy(EL)-I (Back)(Back)



1. Define the experimental method and discuss itsadvantages and disadvantages. 5+15

OR

Describe the structure and function of theNeuron. 7+13

2. Define consciousness and discuss its extended statesof consciousness. 5+15

OR

What is perception ? Discuss different Gestaltprinciples of perceptional organization. 5+15

3. What is conditioning ? Discuss different paradismsinvolved in classical conditioning. 5+15

OR

V-197 [Turn Over

What is memory ? Discuss different processes involvedin improving memory. 5+15

4. Define different types of motives. 20

OR

Critically evaluate the Activation theory of emotion. 20

5. Define thinking and discuss thinking as a problem-solving behaviour. 5+15

OR

What is personality ? Discuss two type of tests assesingpersonality. 5+15

V-197-0.2

[ 2 ]

I-UG-Zool(EL)-I (Back)(Back)



1. Describe various methods of reproduction in Paramoecium.OR

Write notes on any three of the following :a) Asexual reproduction in Hydrab) Body wall of Syconc) Syconoid Canal Systemd) Structure of Paramoeciume) Development in Sycon.

2. Describe the life cycle in Fasciola hepatica.OR

Write notes on any three of the following :a) Flame cellb) Excretory organ in Ascarisc) External features of Ascarisd) Male reproductive system of Fasciolae) Coelom and pseudocoelom.

3. Describe the excretory system of Pheretima.OR

V-199 [Turn Over

Write notes on any three of the following :a) Green glandb) Mosaic visionc) Cocoon formation in Pheretimad) Respiratory organs in Prawne) Statocyst of Prawn.

4. Give an account of respiration in Pila.OR

Write notes on any three of the following :a) Organ of Bojanusb) Perihaemal system in starfishc) Locomotion in starfishd) Larval development of starfishe) Exoskeleton of Asterias.

5. Discuss distinctive factors and classification ofProtochordata.

ORWrite notes on any three of the following :a) Solenocytesb) External features of Amphioxusc) Wheel organd) Endostylee) Feeding in Amphioxus.

V-199-0.2

[ 2 ]

I-UG-Hist(EL)-I (Back)(Back)



1. Discuss the origin, extent and town planning ofHarappan Culture.

OR

Discuss the social, political and religious life in theLater Vedic Period.

2. Write on the life and teachings of Gautama Buddha.

OR

Discuss the measures adopted by Asoka as a missionarymonarch for the spread of Buddhism.

3. Describe Kanishka I as the greatest emperor of Kushanadynasty.

OR

Give an account of the career and achievements ofChandragupta II.

V-193 [Turn Over

4. Evaluate the administrative system of Harshavardhan.

OR

Describe the causes and results of the Arab Invasionof Sindh.

5. Give an account of Alauddin Khilji's market controlsystem.

OR

Narrate the main causes responsible for the decline ofthe Sultanate of Delhi.

V-193-0.2

[ 2 ]

I-UG-Math(EL)-I (Back)(Arts/Sc)




1. a) Show that dsydy is constant for the curve

2 2 2 2x a y a a ylog

a y

b) Trace the curve y2x = a2(a – x).

OR

c) Prove that for the ellipse22 2 2

2 2 3yx a b1, ,

a b p

where p is the perpendicular from the centre uponthe tangent at any point (x, y).

d) Find the asymptotes of the curves :

i) xy2 – x2y – 3x2 – 2xy + y2 + x – 2y + 1 = 0.

ii) ar .1

V-198 [Turn Over

c) Find the equation of the cylinder whose guidingcurve is the curve of intersection of the surfaceax2 + by2 + 2z, the plance lx + my + nz = p andwhose generators are parallel to the z-axis.

d) Find the equations of the generators of thehyperboloid of one sheet

22 2yx z 11 4 9

through the point (1, 2, 3).

V-198-0.5

[ 4 ]

2. a) Find the area enclosed by the curves x2 = 4ay and2 2 3x 4a 8a y.

b) Find the volume of the solid formed by revolvingthe cycloid x = a ( + sin), y = a (1 – cos) aboutX-axis.

OR

c) Find the surface area of the solid generated byrevolving the cardiode r = a (1 – cos) about theinitial line.

d) Find the length of the arc of the parabola y2 = 4axcut off by its latus rectum.

3. a) i) Solve x dy + y dx + 3x3y4dy = 0.

ii) Solve y = 2px + y2p3.

b) ii) Solve (1 + y2)dx = (tan–1y – x) dy.

ii) Solve 2ay px .p

OR

c) i) Solve dy2x 3y 5 2x 3y 1 0dx

.

ii) Solve (x2y – 2xy2)dx + (3x2y – x3)dy = 0.

d) i) Solve dyx 7y 2x 9, y 1 1.dx

ii) Solve y2 + xy p – x2p2 = 0.

4. a) Solve (D2 + 1)y = sec x.

b) i) Find Laplace transform of e–t.cos2t.

ii) Find the inverse transform of 2p p 1 .

OR

c) Find the general solution of

21x2 2y 2xy x 5 y xe .

d) Use the Laplace transformation to solve the initialvalue problem.

y 2y 2y 2; y 0 0, y 0 1.

5. a) Find the equation of the sphere whose centre is(0, 0, 0) and which touches the line

2(x + 1) = 2 – y = z + 3.

b) Prove that the plane z = 0 cuts the enveloping coneof the sphere x2 + y2 + z2 = 11 with vertex at(2, 4, 1) in a rectangular hyperbola.

OR

V-198 [Turn Over

[ 3 ][ 2 ]

I-UG-BBA(EL)-I (BOM)(Back)



1. What is meant by the word 'Business' ? Describedifferent features of business.

OR

Discuss the preliminary considerations which abusinessman should keep in mind while selecting aform of organisation.

2. Under what circumstances can a firm be dissolved ?How are the accounts settled in dissolution of a firm ?

OR

What is Memorandum of a Association ? Describe itscontents and importance.

3. What is meant by Scientific Management ? Discussbriefly the principles of scientific management.

OR

V-162 [Turn Over

Discuss the nature of planning. What are itslimitations ? What should be done to overcome itslimitations ?

4. What is meant by decentralisation of authority ? Whatare its advantages and disadvantages ?

OR

Define communication. What are the common barriersto communication in an organisation ? How can theybe overcome ?

5. "Planning is meaningless without control and controlis aimless without planning", Comment.

OR

What services are rendered by the stock exchange toinvestors and companies ? Explain briefly.

V-162-0.9

[ 2 ]

I-UG-Eco(EL-B)-I(Back)



1. Analyse with the help of Indifference Curves, howdoes a consumer attain equilibrium ?

OR

Critically examine Marshallian Concept ofConsumer's Surplus.

2. What do you mean by 'Returns to Scale' ? Examineincreasing, constant and diminishing returns to scale.

OR

"Short run average cost curve is 'U' shaped". Explain.

3. How is price determined under perfect competition ?Explain.

OR

What is meant by monopoly equilibrium ? How doesa monopolist fix his price and output in the long run.

V-156 [Turn Over

4. Critically discuss Recardian Theory of Rent.

OR

Distinguish between money wage and real wage. Howis wage determined under perfect competition ?

5. Examine the Keynesian 'Liquidity Preference' theoryof rate of interest determination.

OR

What is profit ? Critically examine the role ofinnovation in its determination.

V-156-0.8

[ 2 ]

I-UG-Com(EL)-I (FOE)(Back)



1. Define entrepreneurship and explain its maincharacteristics.

OR

What problems are faced by women entrepreneurs inestablishing and developing their enterprises ? Whatsteps are taken by the government to promote them ?

2. What is a project report in connection with setting upan enterprise ? What are its main contents ? Discuss.

OR

Define venture capital and discuss its various sources.

3. Write notes on :

a) Mc Clelland Three need model

b) Maslow's need hierarchy theory.

OR

V-163 [Turn Over

What do you mean by Innovation ? How does theentrepreneur's behaviour helps in the innovation of newideas and new products ?

4. "Entrepreneurs are made, not born". Comment and givereasons for your views.

OR

Write notes on :

a) Industrial Estates

b) District Industrial Centre (DIC)

c) Small Industries Development Organisation (SIDO)

d) Technical Consultancy Organisation (TCO)

5. Discuss the role of small-scale industries in thedevelopment of national economy.

OR

Define export promotion. Discuss various steps takenby the government for export promotion.

V-163-3

[ 2 ]

I-PG-ODI-IV(Reg/Back)



1."Dvÿ LÿZÿæÁÿ' Lÿ ÿç†ÿæ Lÿ ÿçZÿ A†ÿê†ÿ ÷ê†ÿç H D’úÿ{¯ÿæ™œÿ Sê†ÿçÀÿÓæ$öLÿ ÷†ÿçœÿç™# - ÷þæ~ LÿÀÿ>12

A$¯ÿæ"™Àÿæ ÿ†ÿÀÿ~' Lÿ ÿç†ÿæ þæþ}Lÿ Aµÿç ÿ¿Nÿç H ÿç{’ÿÜÿ ÷ê†ÿçÀÿ FLÿ Óë¢ÿÀÿAæ{àÿQ¿ - Aæ{àÿæ ÿœÿæ LÿÀÿ>

2."A†ÿç$#' Lÿ ÿ ç†ÿæ µÿç ÿç{Àÿ Lÿ ÿçZÿ þõ†ëÿ¿ {`ÿ†ÿœÿæÀÿ Àÿç ÿß ÷’ÿæœÿLÿÀÿ>12

A$¯ÿæ"fæÀÿæ É¯ÿÀÿÀÿ ÓóSê†ÿ' Lÿ ÿç†ÿæ{Àÿ ÷†ÿçüÿÁÿç†ÿ þç$ú H µÿNÿçÀÿ ÓüÿÁÿþçÉ÷~{Àÿ Lÿ ÿçZÿ Lõÿ†ÿç†ÿ ’ÿÉöæA>

3.Ó¨÷Óèÿ ÓÀÿÁÿæ$ö {àÿQ :4 + 4Lÿ)ÀÿæfµÿNÿç µÿæÀÿ†ÿ{Àÿ ÿçÀÿ ÉæÚ ÿç™#,

œõÿ †ÿç µÿæÀÿ†ÿ {œÿ{†ÿ÷ {’ÿ ÿ ÷†ÿçœÿç™#>A$¯ÿæ

V-134[Turn Over

AæSæþê ¾ëSÀÿ ’ÿ÷Îæ þëô Aæfç xÿæLëÿAdç FB Líÿ{Áÿ,¨†ÿèÿ Àÿç læÓ {’ÿ œÿæÜÿ] {’ÿ œÿæÜÿ] †ÿæ'Àÿ þí{Áÿ>

Q)AæQ# {þæÀÿ Üÿ{f ¾’ÿçfÜÿ§ AæàëÿA{ÀÿÓþßÀÿ œÿ¢ÿç{WæÌSÝçSàÿæ {¯ÿ{Áÿ>

A$¯ÿæ†ÿæ' {Àÿ {’ÿQ# ëÿ †ëÿ xÿÀÿ µÿß Lÿçdç ÀÿÜÿç ÿœÿç{¾{†ÿ Ó¯ëÿ ™¢ÿç {Üÿ ÿæ þ{œÿ{Üÿ ÿ †ëÿbÿæ æSÁÿæþç>>

4.{¾ {Lÿò~Óç `ÿæÀÿçsçÀÿ Óóäç© DˆÿÀÿ ’ÿçA :2 × 4Lÿ)" ÿæÀÿçÖ{» þæœÿ ÿÀÿ Óþæf Óó×ç†ÿç' - ÿæÀÿçÖ»Àÿ œÿæþ {àÿQ>Q)¯ëÿLëÿ †ÿ{Áÿ {LÿDô ÿóÉê ÿæfçDvëÿ {¯ÿæàÿç Lÿ ÿç LÿÜÿçd;ÿç?S)þæsçÀÿ þ~çÌLëÿ LÿçF þ¦ {’ÿDdç?W)¨÷æ~Àÿ ÿæ†ÿæßœÿ {¯ÿæàÿç LÿæÜÿæLëÿ LëÿÜÿæ¾æBdç?Yÿ)þæÎ÷æ~ê {LÿDô ÿæ{Àÿæsç fçœÿçÌ dæÝç ÿæàÿçAæÓçd;ÿç?`ÿ)fê ÿœÿ H þÀÿ~Àÿ ÀÿÜÿÓ¿ LÿçF fæ~ç ÿæLëÿ ÿæÜÿ]$#{àÿ?d)LÿçF ÜÿÓç ÜÿÓç Àÿç ÿç†ÿ ÿ¤ëÿsçF Àÿç AæÓç ÿ?f)œÿC vÿæ{Àÿ {LÿDô {¯ÿæB†ÿ œÿæ ëÿ$#{àÿ?

V-134-0.6

[ 2 ]

I-PG-Pol.Sc-IV(Back)



1. Discuss various theories for study of InternationalRelations. 16

OR

Critically examine the main tenets of functionalism inInternational Relations.

2. What do you mean by National Power ? Describe theconstituents of National Power. 16

OR

Discuss the structure and role of SAARC.


a) Neo-Realism

b) WTO

c) Collective Security.

V-135-0.5

I-PG-Pol.Sc-IV(Back)



1. Discuss various theories for study of InternationalRelations. 16

OR

Critically examine the main tenets of functionalism inInternational Relations.

2. What do you mean by National Power ? Describe theconstituents of National Power. 16

OR

Discuss the structure and role of SAARC.


a) Neo-Realism

b) WTO

c) Collective Security.

V-135-0.5

I-PG-Com-IV (MM)(Back)



1. What is Marketing Mix ? In what way marketing mixconcept helps the marketing firms ? 13

OR

Differentiate between 'Consumer' and 'Organisational'buyers. What steps are involved in consumer decisionmaking process ?

2. Why new product fails ? How success can be achievedin new product development ? 13

OR

a) What are the merits of branding to producers ?

b) What is product packaging ? What are itsobjectives ?

3. Discuss the factors influencing the product pricingdecisions. 14

OR

"The wholesaler as an intermediary between themanufacturer and the retailer renders services both tothe manufacturer and the retailer". Explain.

V-137-1

[ 2 ]

V-137 [Turn Over

I-PG-Math-IV(Back)

2013Full Marks - 40

Time - 3 HoursThe figures in the right-hand margin indicate marks


1. a) Discuss the importance of local variable and globalvariables with examples. 4

b) Write a program in 'C' to find the greatest amongthree numbers using conditional operator. 4

OR

a) What do you mean by storage class ? Discussdifferent types of storage class variables in briefwith examples each. 4

b) What do you mean by Qualifier ? Discuss the signand size qualifier with respect to the datatypes in'C' language. 4

2. a) Write a program in 'C' to check whether a year isa leap year or not using nested if statement. 4

V-136 [Turn Over

a) Distinguish between Raster and Random scan inbrief. 2

b) Consider a line from (5, 5) to (13, 9). Use theBresenham's line drawing algorithm to raster sizethe line. 2

c) Scale a polygon with co-ordinate A(2, 5), B(7, 10),C(10, 2) by 2 units in X-direction and 2-units inY-direction. 4

V-136-0.6

[ 4 ]

b) Write the differences between printf( ) andscanf( ). 4

OR

a) Write a program to find sum of first 10 naturalnumbers using goto and label. 4

b) Differentiate between Formatted I/O andUnformatted I/O in brief. 4

3. a) Define Array. Create on integer array of size 5(with input 5 numbers) into the array and displaythem in sorted order. 2+3

b) Differentiate between recursion and iterationin C. 3

OR

a) Write a program in 'C' to find the sorted order ofany 5 numbers using array as an argument to thefunction. 4

b) Define return statement. Write the two importantpoints about it. 2

c) Define function prototype with example. 2

4. a) What is a tagged structure ? Explain withexample. 3

b) What is a typedefined structure ? Explain withexample. 3

c) Can you initialise the members of the structure inthe strucrture definition ? Justify your answer. 2

OR

a) Describe the various methods of passing structuresto functions in brief. 5

b) Distinguish between the following : 3

i) (*m) [5] and *m[5]

ii) int (*ptr) ( ) and int * ptr ( ).

5. a) Explain the merits and demerits of plasma paneldisplay. 2

b) Consider the line from (0, 0) to (4, 6). Use theDDA algorithm to raster size the line. 2

c) A point (4, 3) is rotated counter clock wise by anangle of 450. Find the rotation matrix and theresultant point. 4

OR

V-136 [Turn Over

[ 3 ][ 2 ]

I-UG-Hist(H)-I(Back)



1. Discuss the origin, extent and main features of townplanning of the Harappan culture.

OR

Give an account of the social, economic and religiouslife of the early Vedic age.

2. Throw light on the rise of Magadha under Bimbisaraand Ajatasatru.

OR

Write a note on the main principles of Buddhism.

3. Throw light on the administration of ChandraguptaMaurya.

OR

Describe the achievements of Kanishka.

V-166 [Turn Over

4. Narrate the cultural developments of the Gupta Age.

OR

Give an account of the conquests and administrationof Harshavardhan.

5. Analyse the causes and effects of the Arab invasion ofSindh.

OR

Examine the effects of the invasions of India byMuhammad of Ghazni and Muhammad of Ghor.

V-166-0.5

[ 2 ]

I-UG-Eng(H)-I(Back)



1. Answer the following in one sentence each : 1 × 10

a) Which is the most significant work of GeoffreyChaucer ?

b) Name an Ode composed by Edmund Spenser.

c) Who was the first to use the term 'metaphysical'to designate the poetry of Donne ?

d) Who was the author of 'The Spanish Tragedie' ?

e) To whom was the collection of Shakespeare'ssonnets (1609) dedicated ?

f) Who is the author of 'Every Man in his Humour' ?

g) Why is John Webster famous in English literature ?

h) Which year is noted for the closing of the theatresin England ?

i) When was Charles 1 executed ?

j) Who is the author of 'Samson Agonistes' ?

V-164 [Turn Over

2. Write short notes on any three : 5 × 3

a) Influence of the Renaissance in Elizabethanliterature.

b) University Wits

c) The Authorized Version of The Bible

d) Metaphysical Poetry

e) Elizabethan Prose

f) Restoration drama.

3. Comment on 'Dr. Faustus' as a tragedy. 15

OR

How does Faustus react when he realizes the nearapproach of his departure to Hell ?

4. Justify the title of the play 'A Doll's House'. 15

OR

Sketch the character of Nora.

5. Annotate the following : 5 × 2

a) Stand still, you ever-moving spheres of heaven,That time may cease, and midnight never come;Fair Nature's eye, rise, rise again, and makePerpetual day ;

OR

Mountains and hills, come, come, and fall on me,And hide me from the heavy wrath of God !

b) I am saved ! Nora, I am saved !

OR

I've been your doll-wife here, just as at homeI was Papa's doll-child.

6. Write notes on any two of the following : 7½ × 2

a) Different forms of sonnets

b) Differences between novel and short story

c) Romantic comedy

d) Elegy.

V-164-0.5

[ 3 ][ 2 ]

I-UG-Eco(H)-I(Back)



1. Differentiate between income effect and substitutioneffect caused by the change in the price of a commodity.

OR

Explain the concept of price elasticity of demand andexamine the various methods of its measurement.

2. What is Production function ? State and explain thelaw of 'Returns to Scale'.

OR

Discuss the nature of the short-run and long-run costcurves. Why is the long-run average cost curve flatterthan short-run average cust curve ?

3. Explain with the help of diagrams the Marshallian timeperiod analysis for price determination under perfectcompetition.

OR

V-165 [Turn Over

Explain the equilibrium of an oligopolistic marketfacing kinked demand curve.

4. State and explain the modern theory of rent.

OR

Explain the views of 'Knight' and Schumpeter aboutprofit. Is profit a part of cost of production ?

5. Discuss critically the Pigovian welfare conditions.

OR

Explain the compensation principle in welfareeconomics. Illustrate it with reference to Kaldor andHick's compensation principles.

V-165-1

[ 2 ]

I-UG-Pol.Sc(H)-I(Back)


The questions are of equal value


1. Define Political Science and discuss the significanceof the study of Political Science.

OR

Examine the Systems Theory of the study of PoliticalScience.

2. Discuss Evolutionary Theory of the Origin of the State.

OR

Explain Gandhian Theory regarding functions of thestate.

3. Critically examine Pluralistic Theory of Sovereignty.

OR

Bring out the relationship between Law and Liberty.

V-167 [Turn Over

4. What do you mean by 'Rights' ? Discuss varioustheories of rights.

OR

Discuss John Rawl's Theory of Justice.

5. Analyse the relationship between civil society and thestate in 21st Century.

OR

Examine the Liberal views on Feminism.

V-167-1

[ 2 ]

I-UG-Phil(H)-I(Back)



1. Give reasons :

a) From IE combination no conclusion follows.

b) From II combination no conclusion follows.

OR

Expain the followings :

a) Weakened moods

b) Galenian figure.

2. Explain the characteristics of symbolic logic afterC.I. Lewis.

OR

Write notes on :

a) The stroke function

b) Logical Form.

V-168 [Turn Over

3. Explain the difference between tautology, contradictionand contingent formulae with examples.

OR

Construct truth tables for the following expressionsand point out their matrix number.

a) (~p . q) . (q p)

b) (p p) p

c) ~ p (p q)

d) (p q) (~ p ~ q)

4. Reduce the followings to their CNF :

a) ((p q) . ~ p) ~ q

b) (~ (p . q) ~ p) q.

OR

Test the validity of the following arguments by themethod of equivalent substitution :

a) i) S R

ii) (S . R) B

iii) (S B) ~ E

iv) E C

S C.

b) i) S P

ii) S (Q . L)

iii) ~ P . ~ R

Q.

5. Explain briefly :

a) The Existential quantifier

b) Class membership.

OR

a) Put the Boolean expressions

AB' + A'BC + ABD' into normal form.

b) Test the validity of the following syllogisticargument by the method of Boolean algebra.

All M is P

All S is M

All S is P.

V-168-0.4

[ 3 ][ 2 ]

I-UG-Sans(H)-I



1. AYmo{b{IVofw Û`mo… CÎma§ {bIV : 5 × 2

H$) dm_Xod… H$sÑe§ Hw$_maM § XXe© ?

I) H$m Zm_ H$m{bÝXr ? gm _mV“§ {H$_wdmM ?

J) Jm¡arn{V… ñdßZo _mV“§ {H$_² AdmoMV² ?

K) _mV“Ñï>§ àoVnwarÑí § dU© V Ÿ&

2. CËH$b^mf`m Am“b^mf`m dm AZwdmX… Hw$éV : 5

^ydëb^, ^dXr`_ZmoaW\$b{_d g_¥ÕbmdÊ`§ VméÊ § ZwV{_Ìmo^dËnwÌmo@Zw d{V Ÿ& ghMag_oVñ` ZyZ_oVñ` {Xp½dO`maå^g_`…Ef… Ÿ&

AWdm

g{Md, Z¡fmo@_wî` _¥Ë wg_`… Ÿ& {ZpÝXVM[aVmo@ß``§ _hrgwa{Z{_Îm§JVOr{dVmo@ yV²… Ÿ&

V-171 [Turn Over

I) `Wm{Z{X©ï>§ n#mmZm§ YmVwê$nm{U {bIV : 1 × 5

AWdm

i) hZ² - b{Q> àW_nwéf~hþdMZo Ÿ&

ii) nR²> - bmo{Q> _Ü`_nwéf¡H$dMZo Ÿ&

iii) H«$s - b{Q> CÎm_nwéf¡H$dMZo Ÿ&

iv) H¥$ - nañ_¡nXo bmo{Q> àW_nwéf~hþdMZo Ÿ&

v) Ag² - b¥{Q> _Ü`_nwéf{ÛdMZo Ÿ&

vi) y - b{L> CÎm_nwéf¡H$dMZo Ÿ&

vii) nM² - {d{Y{b{L> àW_nwéf¡H$dMZo

viii) {Xd² - b{L> _Ü`_nwéf{ÛdMZo Ÿ&

J) {ZåZàXÎmofw àË` ofw n#m ì`döË` àË oH§$ nX_oH§$ {bIV :1 × 5

º$, An², ŠËdm, V¥M², KÄm², Q>, Vw_wZ², ë wQ²> Ÿ&

V-171-0.5

[ 4 ]

3. H$) Û`mo… gpÝY{dÀN>oX§ Hw$éV : 1 × 2

ZyZ_oVñ`, Z¡fmo@_wî`, ZwV{_Ìmo ^dËnwÌ… Ÿ&

I) Û`mo… g{dJ«h§ g_mgZm_Zr {bIV : 1½ × 2

ZwV{_Ì…, _¥Ë wg_`…, JVOr{dV…, g_¥ÕbmdÊ`_² Ÿ&

4. gwemgH$ê$noU gw moYZñ` g_rjU§ Hw$éV Ÿ& 10

AWdm

"^madoaW©Jm¡ad_²' BË wºo$… `mWmÏ ª n{R>VgJ©mYmaoU à{VnmX`V Ÿ&

5. gàg“§ ì`m»`mV : 6

{H«$`mgw wºo¡$Z¥©n MmaMjwfmoZ d#mZr`m… à^dmo@ZwOr{d{^… Ÿ&

AVmo@h©{g jÝVw_gmYw gmYw dm{hV§ _Zmohm[a M Xwb© § dM… Ÿ&&

AWdm

d«OpÝV Vo _y‹T>m{Y`… nam^d§^dpÝV _m`m{dfw o Z _m{`Z… Ÿ&

à{dí` {h ¿ZpÝV eR>mñVWm{dYm-Zg§d¥Vm“m{Þ{eVm Bdofd… Ÿ&&

6. H$) n#m_àíZJVowfw aoIm{‘>Vofw Û`mo… gH$maU§ {d^qº$ {ZU© V Ÿ&1 × 2

I) Û`mo… àH¥$qV àË` § M {bIV : 1 × 2

d#mZr`m…, Xwb© _², à{dí`, jÝwV_² Ÿ&

7. JÚH$mì`ñ` CX² d§ {dH$mg§ M AmbmoM`V Ÿ& 10

AWdm

H$m{bXmgñ` H¥$VrZm§ n[aM § g§jonoU XÎm Ÿ&

8. H$) _hm^maVñ` H$mb§ g w{º$H§$ {Zê$n`V Ÿ& 10

AWdm

am_m`Uñ` H$Wmgma§ d¡{eîQ>ç§ M {d_¥eV Ÿ&

I) Û`mo… {Q>ßnUr àXo m : 2½ × 2

JwUm‹T>`…, n#mVÝÌ_², ewH$gá{V…, doVmbn#mqde{V… Ÿ&

9. H$) n#mmZm§ eãXê$nm{U {bIV : 1 × 5

i) ZXr - {ÛVr`m~hþdMZo

ii) {nV¥ - fð>r~hþdMZo

iii) Jw{UZ² - V¥Vr ¡H$dMZo

iv) AmË_Z² - MVwÏ £H$dMZo

v) BX_² - ór{b“o n#m_r~hþdMZo

vi) dm[a - àW_m{ÛdMZo

vii) _éV² - gá_r~hþdMZo

viii) Añ_X² - n#må oH$dMZo Ÿ&

V-171 [Turn Over

[ 3 ][ 2 ]

I-UG-Hn(H)-I




1. {ZåZ{b{IV _| go {H$Ýht VrZ H$s gàg§J ì`m»`m H$s{OE : 8 × 3

H$) eãX¡ doX nwamZ H$hV h¡, eãX¡ g~ R>hamd¡ Ÿ&&

eãX¡ gwa-_w{Z-g§V H$hV h¡, eãX oX Zqh nmd¡ Ÿ&&

I) _oamo _Z AZV H$hm± gwI nmd¡ Ÿ&

O¡g| C{‹S> OhmO H$m¡ n§N>r, {\$a OhmO na Amd¡ Ÿ&

H$_b-Z¡Z H$m¡ N>m±{‹S> _hmV_, Am¡a Xod H$m¢ Ü`md¡ Ÿ&

na_ J§J H$mo N>m±{S> {n`mgm¡ Xwa_{V Hy$n IZmd¢ Ÿ&

J) g§J{V, gw_{V Z nmdht nao Hw$_{V Ho$ A§Y Ÿ&

amIm¡ _o{b H$nya _|, htJ Z hmo{V gwJ§Y Ÿ&&

K) Ohm± gm±P-gr OrdZ N>m`m,

T>mo bmo AnZr H$mo_b H$m`m,

Zrb Z`Z go Tw>bH$mVr hmo,

VmamAm| H$s nm±{V KZr ao Ÿ&

V-172 [Turn Over

O) _hmdra àgmX {ÛdoXr {H$g n{ÌH$m Ho$ g§nmXH$ Wo ?

P) _hmdra àgmX {ÛdoXr H$s gm{hpË`H$ ^mfm Š`m Wr ?

Äm) _hmdra àgmX {ÛdoXr H$mo H$m¡Z AnZm Jwé _mZVo Wo ?

V-172-0.5

[ 4 ]

L>) {XdgmdgmZ H$m Wm g_`,_oK_` Amg_mZ go CVa ahr h¡dh g§Ü`m gwÝXar nar-grYrao Yrao Yrao Ÿ&

M) _oam Vmn Am¡a Vn CZH$m,ObVr h¡ hm ! OR>a _hr,

_¢Zo hr Š`m ghm, g^r Zo_oar ~mYm-ì`Wm ghr Ÿ&

2. gyaXmg H$s ^{º$ ^mdZm na àH$me S>m{bE Ÿ& 16

AWdmn{R>V Xmohm| Ho$ AmYma na {~hmar H$s H$mì`JV {deofVmAm| na àH$meS>m{bE Ÿ&

3. "{^jwH$' H${dVm Ho$ _mÜ`_ go H${d {Zambm Zo qhXr H$mì`-joÌ _|{Og Z`r H«$m§{V H$mo OÝ_ {X`m, CgH$m AmH$bZ H$s{OE Ÿ& 16

AWdm"VmO' H${dVm H$m à{VnmX² ñnï> H$s{OE Ÿ&

4. {H$Ýhr§ Mma àíZm| Ho$ CÎma Xr{OE : 4 × 4

H$) H$~ra Zo _m`m H$mo "_hmR>JZr' Š`m| H$hm h¡ ?

I) gyaXmg Zo {H$gH$mo g_Xer© H$hm h¡ Am¡a Š`m| ?

J) "_Z-_YwH$a nZH¡$ Vwbgr, aKwn{V nX H$_b ~g¡hm¢'' - H$mAW© ñnï> H$s{OE Ÿ&

K) "n§W hmoZo Xmo An[a{MV' H${dVm _| _hmXodr {H$g n§W H$r Am¡ag§Ho$V H$aVr h¡ ? g_PmH$a {b{IE Ÿ&

L>) H$ZH$ H$ZH$ V¢ gm¡JwZr _mXH$Vm A{YH$mB'' - BgH$m Ame`ñnï> H$s{OE Ÿ&

M) "`emoYam' {bIZo Ho$ nrN>o H${d H$m CÔoí` ñnï> H$s{OE Ÿ&

5. {H$Ýht AmR> àíZm| Ho$ A{V g§{já CÎmja Xr{OE : 1 × 8

H$) "^maV XwÔ©em' {H$gH$s aMZm h¡ ?

I) ^maVoÝXw h[aíMÝÐ H$m OÝ_ H$~ hþAm Wm ?

J) ^maVoÝXw h[aíMÝÐ H$mo ^maVoÝXw H$s nXdr go H$~ {d y{fV {H$`mJ`m Wm ?

K) ^maVoÝXw Ûmam g§nm{XV {H$gr EH$ n{ÌH$m H$m Zm_ {b{IE Ÿ&

L>) gw Ðm Hw$_mar Mm¡hmZ H$m ñdJ©dmg H$~ hþAm Wm ?

M) "Rw>H$mam Xmo `m ß`ma H$amo' H${dVm {H$gH$s aMZm h¡ ?

N>) ""~w§Xobo ha~mobm| Ho$ _w±h h_Zo gwZr H$hmZr Wr, Iy~ b‹S>r _X©mZrdh Vmo Pm±grdmbr amZr Wr'' - o {H$g H$mì` H$s n§{º$`m| h¢ ?

V-172 [Turn Over

[ 3 ][ 2 ]

I-UG-Math(H)-I(Arts/Sc)




1. a) Prove that 2

2ds drrd d

for the curve r f

b) Trace the curve x3 + y3 = 3axy.

OR

c) Prove that the radius of curvature at the point(–2a, 2a) on the curve x2y = a (x2 + y2) is –2a.

d) Find the equation of the straight line on which liethree points of intersection of the cubicx3 + 2x2y – xy2 – 2y3 + 4y2 + 2xy + y – 1 = 0 andits asymptotes.

V-176 [Turn Over

b) Find the equation of the enveloping cylinder ofthe sphere x2 + y2 + z2 – 2x + 4y = 1 whosegenerators are parallel to a line equally inclinedto the co-ordinate axes.

OR

c) Find the equation of the cone whose vertex is thepoint (1, 2, 3) and whose guiding curve is givenby the equation

x2 + y2 + z2 – 4 = 0 = x + y + z – 1.

d) Find the equations of the generators of thehyperboloid of one sheet

22 2yx z 1,4 9 16

through the point 42, 1, 3

V-176-0.6

[ 4 ]

2. a) in the case of the cycloid

x a sin , y a 1 cos ,

find the area included between the curve and itsbase.

b) Find the surface area of the solid obtained by therevolution of the curve r2 = a2cos2 about theinitial line.

OR

c) Find the perimeter of the loop of the curve

9ay2 = (x – 2a) (x – 5a)2.

d) Find the volume of the spindle shaped solidgenerated by revolving the hypocycloid

2 2 23 3 3x y a about X-axis.

3. a) Solve the initial value problem

(2x + 3y + 1)dx + (4x + 6y + 1)dy = 0, y( – 2) = 2.

b) Solve (px – y) (x – py) = 2p.

OR

c) Solve the initial value problem

23 xdy 1xy y e , y 0

dx 2

d) Find the orthogonal trajectories of the followingcurves :

i) y = x + ae–x

ii) r2 = a sin 2.

4. a) Solve (D2 – 4D + 3)y = ex . cos2x + cos3x.

b) Use the Laplace transformation to solve the initialvalue problem

y" + 3y' + 2y = t ; y(0) = y'(0) = 0.

OR

c) Using method of variation of parameters solve

(D2 + 2D + 1)y = e–x logx.

d) Solve 2 sin 2xy y yx x

by reducing it to normal form.

5. a) If a tangent plane to a sphere x2 + y2 + z2 = r2

makes intercepts a, b, c on the coordiante axes,prove that a–2 + b–2 + c–2 = r–2.

V-176 [Turn Over

[ 3 ][ 2 ]

I-UG-Phy(H)-I(Arts/Sc)



1. State Hamilton's Principle. Derive Lagranges equationof motion for a conservative system from this principleusing the technique of calculus of variation. 2+10

OR

a) Using Lagrange's equation deduce the equationfor a simple pendulum. 4

b) Show that the angular momentum conjugate to acyclic coordinate is conserved. 8

2. A particle is moving in a central force field. Obtain thedifferential equation of the orbit of the particle. Discussthe various integrable power law potentials to find thesolution of differential equation. 6+6

OR

Discuss Rutherford Scattering in a central force field.Deduce the expression for scattering cross section. 6+6

V-177 [Turn Over

3. Define Youngs modulus, Bulk modulus, Rigiditymodulus and Poisson's ratio of a material. Henceestablish the relation among them. 4+8

OR

Derive an expression for the couple required to twist acylindrical rod through an angle . Show that a hollowrod is a better shaft than a solid one of the same material,mass and length. 9+3

4. Find an expression for the velocity of gravity waveson the surface of liquid. Explain the effect of surfacetension on the velocity of gravity waves. What areripples ? 6+4+2

OR

a) Derive Poiseuille's formula for the rate of flow ofviscous liquid through a long capillary tubeof uniform cross-section. Outline thelimitations. 8+1

b) Calculate the amount of the work done inincreasing the radius of soap bubble from 2 cm to4 cm. S.T. of soap solution = 50 dynes/cm. 3

5. What are Lissajous figures ? A particle issimultaneously acted upon by two orthogonal SHMSin the frequency ratio 2 : 1. Discuss the resultantvibration of the particle. Draw the Lissajous figuresfor it. 2+8+2

OR

Obtain a general solution of the equation of motion ofa string vibrating transversely. Apply it to study thevibration of a struck string and explain the missing ofharmonics in the vibration of the string. 4+6+2

V-177-0.5

[ 3 ][ 2 ]

I-UG-Chem(H)-I(Arts/Sc)



1. a) Find the slope of the curve at (0, –1), the equationof which is given as

3x2 – 2xy + 2y2 – x = 2. 4

b) In how many ways can a student choosefive courses out of eight if two courses arecompulsory ? 2

c) What is Operating System ? Explain multi-useroperating system. 4

OR

a) Evaluate : 2 2x a x dx . 4

b) If x > 0 and xy = 1, then what is the minimumvalue of x + y ? 2

c) Write notes on : 2+2

i) RAM

ii) ROM.

V-178 [Turn Over

iii) Acetic acid is less acidic than chloro-aceticacid.

iv) Methylamine is more basic than ammonia.OR

a) What are carbocations ? Write one method ofgeneration of carbocation. Discuss its structure andstability. 1½+1½+1½+2½

b) What is a free radical ? How can free radicals begenerated ? 1½+1½

6. a) Write notes on : 4+4i) Wurtz reactionii) Chlorination of methane is presence of

diffused sun light.b) Explain why HBr adds to 1, 3-pentadiene at a

faster rate than to 1, 4-Pentadiene. 2OR

a) Explain the following with suitable example.2½×4

i) Saytzeff 's ruleii) Markownikoff 's rule.iii) Ozonolysis of alkenes

iv) Isomerisation of alkanes.

V-178-0.6

[ 4 ]

2. a) Why do real gases deviate from ideal behaviour ?Derive Van der Waal's equation of state for onemole of real gas. 2+6

b) Calculate rms velocity of O2 at NTP. 2

OR

a) Discuss qualitatively Maxwell's distribution ofmolecular velocities. 5

b) State the law of corresponding states and deducethe reduced equation of state. 5

3. a) Derive Schrodinger's wave equation. What is thesignificance of and 2 ? 7+2

b) Write the electronic configuration of theelement with atomic number 24. Also name theelement. ½ + ½

ORWrite notes on : 3+3+2+2a) Pauli exclusion principleb) Aufbau principlec) Hund's ruled) Shapes of 'd' orbitals.

4. a) Define ionisation energy. Discuss three factorsaffecting ionisation energy. 1+3

b) Explain : 1½ + 1½i) Electron affinity of nitrogen is almost zero.ii) Size of Na+ is less than that of sodium atom.

c) Compare the ionic radii of the following ions.F– , Na+ and Mg++

Give reasons in support of your answer. 3OR

a) Discuss the factors that influence the formationof ionic compounds. 3

b) Ionic compounds have high and sharp meltingpoints. Why ? 2

c) Define lattice energy. How can lattice energyof NaCl be determined using Born Habercycle ? 1 + 4

5. a) Write the IUPAC names of the followingcompounds : 1 × 2i)

ii)

b) Explain why ? 2 × 4i) p-nitrophenol is more acidic than phenol.ii) But-2-ene is more stable than but-1-ene.

V-178 [Turn Over

[ 3 ][ 2 ]

I-UG-Bot(H)-I(Back)




1. Describe the structure and function of cell membrane.

OR


a) Plastids

b) Ribosomes

c) Mitochondria.

2. Give an account of Mitotic cell division and point outits significance.

OR


a) Structure of Chromosome

b) Watson and Crick's model of DNA

c) Operon concept.

V-179 [Turn Over

3. What are proteins ? Give an account of the structuralorganisation of proteins.

ORWrite notes on any two :a) Fatty acidsb) ATP as energy currencyc) Polysaccharides.

4. Write briefly about the industrial application of micro-organisms.

ORWrite notes on any two :a) Scope of microbiologyb) Germ theory of diseasec) Spontaneous generation.

5. Describe the structure and economic importance ofbacteria.

ORWrite notes on any two :a) Mycoplasmab) Bacteriophage

c) Transformation.

V-179-0.6

[ 2 ]

I-UG-Zool(H)-I(Back)




1. Describe the canal system in Porifera. Add a note onits significance.

OR


a) Conjugation in Paramecium

b) Entamoeba

c) Schizogony.

2. Give an account of Polymorphism in Coelenterates.

OR


a) Coral reefs

b) Parasitic adaptation in Fasciola

c) Filariasis.

V-180 [Turn Over

3. Discuss the structural peculiarities and affinities ofPeripatus.

ORWrite notes on any two :a) Nephridia of Earthworm

b) Nauplius larvac) Metamerism in annelida.

4. Describe the larval forms and their phylogeneticsignificance in echinodermata.

ORWrite notes on any two :a) Respiration in Pila

b) Detorsionc) Water Vascular system in Asterias.

5. Elaborate the concepts of Species.OR

Write notes on any two :a) Binomial nomenclatureb) Molecular taxonomy

c) Taxonomy and Systematics.

V-180-0.6

[ 2 ]

I-UG-C.Sc(H)-I(Back)



1. a) What do you understand by a system ? Whycomputer is a system ? Explain. 6

b) Write the basic operations performed by computersystem with the block diagram. 6

OR

a) Explain the two different types of the numbersystem in brief. 6

b) Explain the error detecting and error correctingcode with respect to the Hamming distance. 6

2. a) Express 123467 × 10–9 as floating point numberin 6 bits. 4

b) Convert a gray code 11100111 in to binary. 4

c) Using 2's complement arithmatic find

864 – 352. 4

OR

V-181 [Turn Over

a) How many different committees of 5 can beformed from 6 men and 4 women on which exact3 men and 2 women serve. 6

b) A bag contain tickets numbered 1 to 20. Twotickets are drawn from the bag. What is theprobability that both the numbers appearing onthe tickets drawn will be prime. 6

V-181-0.5

[ 4 ]

a) Perform the following arithmetic operations

(60236002)8 (675)8 4

b) Explain the advantages of using floating pointnumbers. 4

c) Add the following hexadecimal number :

3BA + 2C. 4

3. a) What do you understand by bus ? Explain threetypes of buses uses in micro computer system. 4

b) Write short notes on the following : 4 × 2

i) Jump and skip instructions

ii) Paging.

OR

a) Describe the differences between stack pointer andother registers. 6

b) Write short notes on the following : 3 × 2

i) Cache Memory

ii) Accumulatonrs.

4. a) What are NOR and NAND gates and what aretheir characteristics ? Why these are called asuniversal building blocks. 6

b) Write the truth table for the following Booleanexpressions : 3 × 2

i) XZ + XY

ii) X X Y

OR

a) Describe the functions of an assembler and itsworking. How error diagnostics is done with thehelp of an assembler. 6

b) What is the difference between a RS latch and anedge triggered RS flip flop. 6

5. a) Consider the following function n : N × N so thath : (a, b) = (2a + 1) . 2b – 1 where N = {0, 1, 2, ....}in the set of natural numbers. 6

i) Prove that the function h is an injection(one-to-one).

ii) Prove that it is also sunjection (onto).

b) If R be a relation, < from A = {1, 2, 3, 4} toB = {1, 3, 5} i.e. (a, b) R iff a < b, then what isROR–1 ? 6

OR

V-181 [Turn Over

[ 3 ][ 2 ]

I-UG-Psy(H)-I(Back)



1. Discuss various approaches of psychologists instudying behaviour and conscious experience. 6+6

OR

Briefly describe different functions of endocrinesystem. How these glands affect human behaviour andpersonality ? 6+6

2. Discuss everyday changes in Consciousness withexamples. 12

OR

Discuss the structural factors of perceptual organization.Illustrate your answer with examples. 8+4

3. Define learning. Discuss various factors whichinfluence learning. 4+8

OR

V-175 [Turn Over

What do you mean by memory process ? Discussdifferent systems of memory. 4+8

4. Discuss different types of motives with suitableexamples. 12

OR

Evaluate different theories of emotion. 12

5. What is problem solving ? Discuss different strategiesof problem solving. 4+8

OR

Define personality. Give a critical estimate of theclassification of personality. 4+8

V-175-0.5

[ 2 ]

I-UG-Edn(H)-I(Back)



1. Discuss the aims and objectives of education atelementary and secondary levels. 6+6

OR

Describe the various functions of education. 12

2. What is Philosophy ? Discuss the relationship betweeneducation and philosophy. 4+8

OR

Discuss the contribution of Tagore to education inIndia. 12

3. Define Curriculum. Discuss different types ofcurriculum. 12

OR

Explain different principles of CurriculumConstruction. 12

V-174 [Turn Over

4. Discuss education as an instrument of socialchange. 12

OR

Define social change. State the factors responsible forsocial change. 4+8

5. Discuss the needs and objectives of populationeducation ? 6+6

OR

What is environmental education ? Discuss its natureand scope. 4+4+4

V-174-0.5

[ 2 ]

I-UG-Bot(H)-I (Back)(Back)




1. Give an account of the structure and function of cellmembrane.

OR


a) Golgibodies

b) Plastids

c) Cell wall.

2. Give an account of the structure of Chromosome.

OR


a) Structure of DNA

b) Mitosis

c) DNA replication.

V-200 [Turn Over

3. Describe the structure and chemistry of proteins.

OR


a) ATP as energy currency

b) pH and its significance

c) Fatty acids.

4. Describe the major groups of micro-organisms anddiscuss about their industrial application.

OR


a) Germ theory of disease

b) Immunization

c) Biogenesis.

5. Give an account of the structure and economicimportance of Bacteria.

OR


a) Conjugation

b) Structure of Bacteriophage

c) Economic importance of Viruses.

V-200-0.2

[ 2 ]

I-UG-Zool(H)-I (Back)(Back)




1. Give an account of canal system in Porifera.

OR


a) Pathogenesis of Plasmodium

b) Asexual reproduction in Hydra

c) Conjugation in Paramoecium.

2. What is Polyembryoni ? Explain it with reference tothe life cycle of Fasciola.

OR


a) Life Cycle of Hookworm

b) Pathogenicity of Roundworm

c) Flame Cell.

V-201 [Turn Over

3. Describe the structure of compound eye. Explain themechanism of mosaic vision.

OR


a) Septal nephridia

b) Cocoon formation in pheretima

c) Green gland.

4. Describe the water vascular system in Echinodermata.

OR

Write ntoes on any two of the following :

a) Excretion in Pila

b) Pallial Complex of Pila

c) Exoskeleton of Asterias.

5. Describe the structural peculiarities and phylogeneticrelationship of Amphioxus.

OR

Discuss the distinctive features and classification ofProtochordata.

V-201-0.2

[ 2 ]

I-UG-ODI(H)-I(Reg/Back)



1. Lÿ) ÓæÀÿÁÿæ ÓæÜÿç†ÿ¿ ÷ ÿæ’ÿ H ÷ ÿ`ÿœÿÀÿ S;ÿæWÀÿ - Aæ{àÿæ`ÿœÿæLÿÀÿ > 15

A$¯ÿæÀÿê†ÿç ÓæÜÿç†ÿ¿Àÿ ÓþÖ {¯ÿðÉçÎ¿ D{¨¢ÿ÷ µÿófZÿ Àÿ ÿœÿæ¯ÿÁÿê{Àÿ¨Àÿçàÿäç†ÿ {ÜÿæB$æF, D’ÿæÜÿÀÿ~ ÷’ÿæœÿ í ÿöLÿ Aæ{àÿæ`ÿœÿæ LÿÀÿ >

Q) {¾ {Lÿò~Óç {SæsçLÿÀÿ Óóäç© DˆÿÀÿ ’ÿçA : 5i) àÿæ¯ÿ~¿¯ÿ†ÿêii) µÿæS¯ÿ†ÿiii) `ÿƒê ëÀÿæ~ >

2. Lÿ) Àÿæ™æœÿæ$ ¾ëSLëÿ Aæ™ëœÿçLÿ ¾ëS µÿæ¯ÿ{Àÿ LÿæÜÿ]Lÿç œÿæþLÿÀÿ~LÿÀÿæ¾æBdç D{àÿâQ LÿÀÿ > 15

A$¯ÿæÓ†ÿ¿¯ÿæ’ÿê ÓæÜÿç†ÿ¿ ¯ÿçóÉ É†ÿæ±ÿêÀÿ ÷æÀÿ»{Àÿ HÝçÉæÀÿ ¾ë ÿþæœÿÓLëÿ Lÿç Àÿç fæ†ÿêß {`ÿ†ÿœÿæ{Àÿ D’úÿ{¯ÿæ™#†ÿ LÿÀÿç$#àÿæ,Óóäç©{Àÿ †ÿæÜÿæ Aæ{àÿæ`ÿœÿæ LÿÀÿ >

V-170 [Turn Over

Q) {¾ {Lÿò~Óç {SæsçLÿÀÿ Óóäç© DˆÿÀÿ ’ÿçA : 5i) d'þæ~ AævÿSë=ÿii) ÷~ß ¯ÿàÿâÀÿêiii) {Lÿæ~æ{Lÿö >

3. Lÿ) ""ÓæÜÿç†ÿ¿ fÀÿçAæ{Àÿ ÓæþæfçLÿ ÓóÔÿæÀÿ Aæœÿßœÿ Ó¯ëÿf Lÿ ÿç{SæÏêÀÿ FLÿ ÷†ÿçÏç†ÿ AæµÿçþëQ¿ $#àÿæ'', Aæ{àÿæ`ÿœÿæ LÿÀÿ > 15

A$¯ÿæLÿ¯ÿç Óaÿç’ÿæœÿ¢ÿ ÀÿæD†ÿÀÿæßZÿ Lÿ¯ÿç†ÿæÀëÿ {¯ÿð È ÿçLÿ {`ÿ†ÿœÿæÀÿ¨Àÿç ÿß ÷’ÿæœÿ LÿÀÿ >

Q) {¾ {Lÿò~Óç {SæsçLÿÀÿ Óóäç© DˆÿÀÿ ÷’ÿæœÿ LÿÀÿ : 5i) þæsçÀÿ þ~çÌii) `ÿç†ÿ÷S÷ê¯ÿiii) þëNÿæSÝÀÿ äë™æ >

4. Lÿ) HÝçAæ Aµÿç{àÿQ SëÝçLÿÀÿ µÿæÌæS†ÿ {¯ÿðÉçÎ¿ Óó¨Lÿö{ÀÿAæ{àÿæLÿ¨æ†ÿ LÿÀÿ > 15

A$¯ÿæHÝçAæ µÿæÌæÀÿ ÷æ`ÿêœÿ†ÿæ Óó¨Lÿö{Àÿ œÿçfÀÿ þ†ÿ ÷’ÿæœÿ LÿÀÿç¨o’ÿÉ É†ÿæ±ÿê ¨¾ö¿;ÿ FÜÿæÀÿ Lÿ÷þ¯ÿçLÿæÉ {’ÿQæA >

Q) {¾ {Lÿò~Óç {SæsçLÿÀÿ Óóäç© DˆÿÀÿ ’ÿçA : 5i) µÿÀÿfæþú ÉçÁÿæ{àÿQii) {’ÿÉf É±ÿiii) {¯ÿð{’ÿÉçLÿ É±ÿ >

V-170-0.5

[ 2 ]

I-UG-Soc(H)-I(Back)




OR

Sociology is a science. Explain how ?

2. Define an association and distinguish betweenassociation and institution with suitable examples.

OR

Write a detailed note on primary group.

3. Discuss briefly the relationship between individual andsociety.

OR

Define Socialization and discuss its various agencies.

4. Define social stratification and discuss its variousdimensions.

OR

V-169 [Turn Over

Discuss briefly the functionalist theory of socialstratification.

5. Define power and distinguish between power andauthority with suitable examples.

OR

Discuss briefly the relationship between education andsocial change.

V-169-0.3

[ 2 ]

I-PG-ODI-V(Back)



1. ÓþÓ¿æ™þöê œÿæsLÿ µÿæ¯ÿ{Àÿ "µÿæ†ÿ'Àÿ Óæüÿàÿ¿ AæLÿÁÿœÿ LÿÀÿ > 12A$¯ÿæ

"þëLëÿ¢ÿ{’ÿ ÿ' œÿæsLÿ{Àÿ {Sò~ ÿÀÿç†ÿ÷þæœÿZÿÀÿ µíÿþçLÿæ { ÿÉú SëÀëÿ†ÿ´ í‚ÿö- Aæ{àÿæ`ÿœÿæ LÿÀÿ >

2. "AÀÿ~¿üÿÓàÿ' œÿæsLÿÀÿ œÿæþLÿÀÿ~Àÿ Óæ$öLÿ†ÿæ ÷†ÿç æ’ÿœÿ LÿÀÿ > 12

A$¯ÿæ"µÿæÌæ, {ÉðÁÿê H ¯ÿNÿ¯ÿ¿Àÿ Óþœÿ´ß{Àÿ "†ÿsœÿçÀÿófœÿæ' FLÿÓ¯ÿöLÿæÁÿêœÿ LÿÁÿæLõÿ†ÿç' - ¯ÿç ÿæÀÿ LÿÀÿ >

3. {¾ {Lÿò~Óç ’ëÿBsçÀÿ Ó ÷ÓóS ÓÀÿÁÿæ$ö {àÿQ : 4 × 2

Lÿ) Üÿô, þëœÿç ÿ ¯ÿçÀëÿ•{Àÿ `ÿæLÿÀÿ Lÿ$æ Lëÿ{Üÿ †ÿæ'Àÿ ’ÿæœÿæ dësç ÿæ{¯ÿÁÿ {Üÿ{àÿ >

Q) {Óœÿæ¨†ÿç, fê¯ÿœÿ AæÀÿ» LÿÀÿç$#àÿç ÓþÀÿ µíÿþç{Àÿ, ÓþÀÿ µíÿþçÀÿ÷ ÿÁÿ lófæ ÷Áÿß †ÿ{Áÿ, AÚ œÿçœÿæ’ÿ þš{Àÿ, þëÜíÿÌëöÀÿ LÿÀëÿ~

Aæˆÿöœÿæ’ÿ Éë~ç, œÿÀÿ ÀÿNÿ{Àÿ Aæ¨æ’ÿþÖLÿ Àÿófç†ÿ LÿÀÿç >

V-138 [Turn Over

S) fê¯ÿœÿ¨æBô Qæàÿç Aæ’ÿÉö œëÿ{Üÿô, AæD Lÿçdç ’ÿÀÿLÿæÀÿ >

W) þëô Lÿçdç `ÿæ{Üÿôœÿç, Qæàÿç ÀÿÜÿç ÿæLëÿ `ÿæ{Üÿô Aæ¨~Zÿ ¨æ’ÿ dëBô,{’ÿÜÿ dëBô - Aæ¨~Zÿ {ÓòÀÿµÿ AæW÷æ~ LÿÀÿç ¯ÿo# ÀÿÜÿç ÿæLëÿ`ÿæ{Üÿô >

4. {¾ {Lÿò~Óç `ÿæÀÿçsçÀÿ Óóäç© DˆÿÀÿ ’ÿçA : 2 × 4

Lÿ) {Sæ’ÿæ¯ÿÀÿêÉ þçÉ÷ZÿÀÿ AæŠfê¯ÿœÿêÀÿ œÿæþ Lÿ'~ ?

Q) DÌæßœÿê `ÿÀÿç†ÿ÷Àÿ SëÀëÿ†ÿ Lÿ'~ ?

S) ¯ÿçfßæ LÿæÜÿ]Lÿç Aœÿ;ÿÀÿ œÿç¢ÿæ LÿÀëÿ$#àÿæ ?

W) HÝçAæ œÿæsLÿ LÿçµÿÁÿç {Üÿ¯ÿæ D`ÿç†ÿ {¯ÿæàÿç fßê `ÿæ{Üÿô ?

Yÿ) Aæœÿ¢ÿ ÷$þ {’ÿQæ{Àÿ Bbÿæþ†ÿêLëÿ Lÿ'~ LÿÜÿç$#{àÿ ?

`ÿ) Óëfæ†ÿæ LÿçF ? "†ÿsœÿçÀÿqœÿæ' œÿæsLÿ{Àÿ {Ó `ÿÀÿç†ÿ÷Àÿ SëÀëÿ†ÿ´Lÿ'~ ?

d) "¯ÿþöæ Bfú {xÿxúÿ' FLÿ$æ LÿçF LÿæÜÿæLëÿ LÿæÜÿ]Lÿç LÿÜÿç$#àÿæ ?

f) ÓóS÷þæ œÿçfLëÿ "AæLÿuÀÿ' {¯ÿæàÿç LÿÜÿç ÿæÀÿ †ÿæŒ¾ö¿ Lÿ'~ ?

V-138-0.6

[ 2 ]

I-PG-Pol.Sc-V(Back)



1. Define research. Discuss the characteristics of socialscience research. 4+12

OR

Describe the procedure used in the preparation ofresearch proposal. 16

2. Define hypothesis. Discuss the types and purposes ofhypothesis. 4+12

OR

Describe the steps involved in the process ofinterview. 16

3. Write short notes on any two of the following : 4+4

a) Characteristics of scientific method

b) Purposes of social science research

c) Sampling

d) Questionnaire.

V-139-0.5

I-UG-Comm.Eng-I (Com)(Back)



1. Write a paragraph in about 150 words on any one ofthe following : 15

a) Blood donation campsb) A tourist spot you have visitedc) Look before you leap.

2. a) Give noun forms of the following : 3Worried, Construct, Prescribe

b) Give adjective forms of the following : 3Rigidity, honour, grace

c) Change the voice : 3i) Did the boy steal your purse ?ii) His behaviour shocked me.iii) His luggage was thrown out.

d) Do as directed : 6i) He agreed _____ the proposal.

(Use a preposition)

V-202 [Turn Over

ii) The young man was posted in _____ U.P.School. (Use an article)

iii) His pride caused his downfall.(Replace the word underlined by a phrasal verb)

iv) It was very attractive sight.(Use a synonym for the word underlined)

v) His labour was unproductive.(Use an antonym for the word underlined)

vi) The cattle _____ (is/are) grazing on the field.(Choose the right word from the bracket)

3. Imagine that you are Secretary of the Governing Bodyof the High School in your locality. You want to appointan English teacher in the school. Draft an advertisementfor the purpose. 10

ORAs the Librarian of a college, place an order in favourof Oxford University Press, New Delhi, for five bookson different subjects in Commerce.

4. Define Resume and discuss the features of a goodresume. 10

ORPrepare a Biodata that you want to enclose with yourJob application in response to the advertisement inquestion No.3.

V-202-0.5

[ 2 ]

I-PG-Math-V (OC)(Back)

2013Full Marks - 50

Time - 3 HoursThe figures in the right-hand margin indicate marks

Answer all questions selecting either {(a),(b)}or {(c),(d)} from each question


1. a) If V and W are of dimensions m and n respectivelyover F, then show that Hom (V, W) is of dimensionmn over F. 9

b) If 1, ......, K in F are distinct characteristic rootsof T A(V) and if 1, 2, ....., K are characteristicvectors of T belonging to 1, 2, . ..... , K,respectively, then 1, 2, ....., K are linearlyindependent over F. 8

OR

c) If A is an algebra with unit element over F, thenshow that A is isomorphic to a subalgebra of A(V)for some vector space V over F. 9

V-140 [Turn Over

d) If the system of homogeneous linear equations :

a11x1 + x12x2 + .... + a1nxn = 0,

a21x1 + a22x2 + .... + a2nxn = 0,

am1x1 + am2x2 + .... + amnxn = 0,

where aij F is of rank r, then show that there aren – r linearly independent solutions in F(n). 8

2. a) If V is n-dimensional over F and if T A(V) hasall its characteristic roots in F, then show that Tsatisfies a polynomial of degree n over F. 8

b) Prove that there exists a subspace W of V, invariantunder T, such that V = V1 W. 8

OR

c) For each i = 1, 2, ...., k, Vi (0) and V = V1 V2

.... VK. Then show that the minimal polynomialof Ti is qi(x)li. 9

d) If W V is invariant under T, then show that Tinduces a linear transformation T on V/W, definedby (v + W) T = vT + W. If T satisfies thepolynomial q(x) F[x], then so does T . If p1(x)is the minimal polynomial for T over F and ifp(x) is that for T, then p1(x) | p(x). 8

3. a) Find all possible Jordan forms for

i) All 8 × 8 matrices having x2(x – 1)3 as minimalpolynomial.

ii) All 10 × 10 matrices, over a field ofcharacteristic different from 2, havingx2(x – 1)2 (x + 1)3 as minimal polynomial. 8

b) If F is of characteristic O and if S and T , in AF(V),are such that ST and TS commutes with S, thenshow that ST – TS is nilpotent. 8

OR

c) For A, B Fn, show that

det (AB) = (det A) (det B). 8

d) Prove that the elements S and T if AF(V) are similarin AF(V) if and only if they have the sameelementary divisors. 8

V-140-0.2

[ 3 ][ 2 ]

I-UG-BBA(H)-I (AM)(Back)



1. Define Accounting . State its functions. How does itdiffer from Book keeping ?

ORWhat is meant by the term 'Generally AcceptedAccounting Principles" ? Explain the meaning andsignificance of the following with example (i) the goingconcern principle and (ii) convention of consistencyprinciple.

2. "Balance as shown by the Bank Pass Book should tallywith the balance as shown by the Cash Book of thebusiness". Do you agree ? If not, explain the reasonswith suitable examples of differences between the two.

ORWrite notes on :a) Imprest system of petty Cash Bookb) Journal Properc) Debit and Credit noted) Purchase Day Book.

V-182 [Turn Over

The money overpaid on application to whom sharesare alloted on prorata basis are adjusted on allotmentand to whom shares are not alloted, their money arerefunded.

All the shares money are received except of X towhom 200 shares are alloted, did not pay the moneyon call, hence his shares are forfeited and again theyare issued to Y @ 8/- per share as fully paid.

Pass the necessary journal entries.

OR

What are the different methods for the redemption ofdebentures ? Discuss.

5. Briefly explain the various profitability ratios withsuitable examples.

OR

Write notes on any four of the following :

a) Common size statement

b) Trend percentages

c) Current ratio

d) Stock turnover ratio

e) Debt to Equity ratio.

V-182-0.9

[ 4 ]

3. What do you mean by a Trial Balance ? Discuss themain objectives and limitations of the Trial Balance.

OR

The following is the Trial Balance of Sri Prasant as on31st March, 2013. You are required to prepare the FinalAccount.

Dr. Cr.Particulars Amount Particulars Amount S. Debtors 1,45,000 S. Creditors 63,000Drawings 52,450 Capital A/c 7,10,000Insurance 6,000 Return Outward 5,000General Expenses 30,000 Sales 9,87,800Salaries 1,50,000Patents 75,000Machinery 2,00,000Freehold Land 1,00,000Building 3,00,000Stock on 1.4.2012 57,600Carriage on Purchases 20,400Carriage on Sales 32,000Fuel and Power 47,300Wages 1,04,800Return Inward 6,800Purchases 4,06,750Cash at Bank 26,300Cash in hand 5,400

17,65,800 17,65,800

Additional Information :

i) Stock on 31st March 2013 was `68,000.

ii) A provision for bad debt is to created to the extentof 5% on Debtors.

iii) Depreciate Machinery by 10% and Patents by20%.

iv) Wages include `20,000 paid for erection of cycleshed for employees.

v) Salaries for the month of March 2013 amounting`15,000 mere unpaid.

4. On 1st April 2013 the Directors of ABC Ltd. issued1,00,000 equity shares of `10 each at `12 per sharepayable as to `3 on application, `6 on allotment(including premium) and the balance on call.

1,40,000 applications are received and they areallotted as follows :

to the applicants allotted

80,000 80,000

40,000 20,000

20,000 nil

V-182 [Turn Over

[ 3 ][ 2 ]

I-UG-Com(H)-I (FA)(Back)



1. While preparing the final accounts for the year endingon 31st March, 2013, Mr. Panda could not get his trialbalance agreed. He transferred the difference tosuspense account and prepared the final accounts. InApril 2013, the following errors were discovered inthe books of account for the year 2012-13 :i) The sales book for January 2013 was undercast

by `1,000 ;ii) Entertainment expenses `150 incurred on 5th

February, 2013 were omitted to be posted fromthe cash book to the ledger ;

iii) Discount column on the receipt side of the cashbook for February 2013 was added as `2,230instead of `2,130 ;

iv) A purchase from Mr. Padhi for `8,200 on3rd March, 2013 was correctly recorded in thepurchase book but the supplier was wronglydebited for the pourpose.

V-183 [Turn Over

a) Distinguish between sacrificing ratio and gainingratio. 8

b) Explain the rule of Garner Vs. Murray. 8

V-183-3.5

[ 8 ]

purchased on 1st April, 2010 for `80,000 was soldfor `45,000 on 1st October, 2012 and a newmachinery at a cost of `1,50,000 was purchased andinstalled on the same date, installation charges being`8,000.

The company wanted to change the method ofdepreciation from diminishing balance method tostraight line method with effect from 1st April, 2010.Difference of depreciation upto 31st March, 2013 isto be adjusted. The rate of depreciation remains thesame as before.

Show Machinery Account for the year 2012-13. 16

3. Briefly explain the difference between Receipt andPayment Account and Income and ExpenditureAccount. 16

OR

Mr. PQ has a small trading business for which thefollowing procedures are followed :

i) All collections are deposited with the bank eachday.

ii) All payments except petty expenses are made by

cheque.iii) To meet petty expenses, a cheque of `500 is

withdrawn from the bank on the 1st day of eachmonth.

iv) Mr. PQ makes personal drawings from the bank.

v) The assets and liabilities are as under :

1.4.12 31.3.13 ` `

Cash in hand 320 200Bank 2,500 5,000 (overdraft)Debtors 20,000 30,000Creditors 20,000 30,000Stock 10,000 30,000

Payment to creditors during 2012-13 `20,000. Salesduring 2012-12 `30,000. Mr. PQ spent `200 from theoffice cash for his personal expenses.

Prepare final accounts. 16

4. Explain the journal entries in the books of the hirepurchaser

a) With interest suspense account;

b) Without interest suspense account. 8+8

[ 4 ] [ 5 ]

V-183 [Turn Over

Prepare (a) Suspense Account and (b) Profit and LossAdjustment Account.

Assume that all errors have been located. 8+8OR

a) Explain the objectives of accounting. 8b) What is meant by compensating errors ?Give two examples of compensating errors. 8

2. Trial balance of Mr. Mahesh as on March 31, 2013was as follows :Particulars Amount Amount

(Dr. ` ) (Cr. ` )Cash 1,000 --Bank 5,000 --Wages 8,000 --Salaries 25,000 --Furniture 15,000 --Rent of Building 13,000 --Debtors and Creditors 15,000 14,000Purchases and Sales 75,000 1,25,000Bad Debts 5,000 --Capital -- 23,000

1,62,000 1,62,000

[ 2 ]

Adjustments :

a) Rent of building for one month was paid inadvance.

b) Closing stock as on March 31, 2013 amounted to`10,000.

c) Wages outstanding amounted to `500.

d) Salaries include `5,000 paid in advance.

e) Furniture was to be depreciated @ 10% p.a.

f) Further bad debts to be recorded `2,000.

You are required to :

i) Give Adjustment entries (without narration).

ii) Prepare Trial Balance after adjustment.

iii) Give closing entries (withut narration) based onadjusted trial balance.

iv) Prepare Balance Sheet as on March 31, 2013.

OR

Ram Ltd. which depreciates its machinery at 10% p.a.on diminishing balance method had on 1st April, 2012`9,72,000 on the debit side of Machinery Account.During the financial year 2012-13, machinery

[ 3 ]

V-183 [Turn Over

ORThe following is the trial balance of Branch :

Particulars Amount Amount(Dr. ` ) (Cr. ` )

Head office A/c. 32,400 --Opening Stock 60,000 --Purchases and Sales 1,78,000 3,80,000Goods Received from HO 90,000 --Goods Returned to HO -- 60,000Salaries 15,000 --Debtors and Creditors 37,000 18,500Rent 9,600 --Office Expenses 4,700 --Cash at Bank 31,800 --

4,58,500 4,58,500

Adjustments and information :

i) Closing stock of branch was valued at `27,000.

ii) The Branch Account in the books of HO stood at`4,600 (Debit).

iii) Goods worth `25,000 forwarded by HO to branchduring the year were not received till the end ofthe year.

[ 6 ]

Assuming that transit items are recorded in thebooks of the party forwarding the item, give necessaryjournal entries to incorporate above figures in the booksof HO and prepare Branch Account in the booksof HO. 8+8

5. A, B and C were carrying on business in partnershipand sharing profits and losses in the ratio 2 : 2 : 1.C died on 31st December, 2012 and consequently thefirm was dissolved. Following information was madeavailable to close the books of the firm :

a) On the date of dissolution, the capital accounts ofA, B and C showed a balance of 55,000; 45,000and `35,000 respectively.

b) Amount due to creditors was 80,000 and 90% ofthe book value was paid to them in final settlement.

c) Firm had taken a loan of `20,000 from B and thesame was to be transferred to his capital account.

d) Sundry assets excluding cash balance of `25,000realised 1,80,000.

Prepare Realisation Account, Cash Account andPartner's Capital Account. 16

OR

[ 7 ]

V-183 [Turn Over

I-UG-Phy(P)-I(Back)



1. a) Show how a two body system can be reduced to asingle body system. 5

b) State the principle of conservation of angularmomentum and show for an isolated system theangular momentum remains conserved. 5

c) A body of mass 400 gram moving with a velocityof 40 m/s collides with another body of mass20 gram at rest. After collision they move as anone body. Find their common velocity aftercollision. 5

OR

a) Obtain an expression for moment of inertia of asolid cylinder about its axis of symmetry. 8

b) State and prove perpendicular and parallel axestheorems. 7

V-184 [Turn Over

5. Deduce Vander Waal's equation of state and expressthe critical constants in terms of constants of VanderWall's equation. 6+9

OR

Discuss the conclusions which you draw fromMaxwell-Boltzmann formula for distribution ofmolecular speeds. Obtain the expression for mostprobable and rms speed. 7+4+4

V-184-1.2

[ 4 ]

2. Define gravitational field and potential. Deriveexpressions for the potential and field due to aspherical shell at a point outside the shell and insidethe shell. 2+2+6+5

OR

Define coefficient of viscosity. Derive expression forPoiseuille's formula for flow of liquid through a narrowtube. 3+12

3. a) What is resonance ? Discuss the variousconditions of resonance. Explain the phenomenonof sharpness of resonance and state the factors onwhich it depends. 2+3+5+2

b) A body of mass 4 gm is performing simpleharmonic motion with the help of a verticalmassless spring. If the spring constant is200 dyne/gm then calculate the frequency ofoscillation of the mass. 3

OR

a) Obtain an expression for velocity of transversewave in stretched string and state the laws oftransverse vibration of a stretched string. 9+3

b) A charge particle carrying +4 c charge istravelling in an electromagnetic field with avelocity V 2 j.

If the electric field ˆE 4i

and

magnetic field ˆB 3k

then calculate theelectromagnetic force acting on it. All quantitiesinvolved are measured in S.I. system. 3

4. a) Show that the area enclosed in T-S diagram is sameas work done by an engine. 6

b) Show that the entropy increases for all irreversibleprocess. 5

c) Prove that the entropy does not change in areversible cycle. 4

OR

a) Derive Clausius-Clapeyron's equation. Show thevariation of boiling point and melting point withpressure. 5+2+2

b) Write Clausius, Kelvin's and Planck's statementof formulation of second law of thermodynamics. 2+2+2

V-184 [Turn Over

[ 3 ][ 2 ]

I-UG-Chem(P/EL)-I (R/B)(Back)



1. a) Define and write the expressions for different typesof molecular velocities. 3

b) Derive Graham's Law of Diffusion and theAvogadro Law from Kinetic gas equation. 4

c) Discuss the limitation of Van der Waalsequation. 5½

OR

a) Define critical constants of a real gas. 3

b) Show that for a Van der Waals gas the criticalconstants are related as

C

C C

RT 8P V 3

. 4

(Symbols have their usual meaning).

c) Derive the reduced equation of state. 5½

2. a) What are the colligative properties of a dilutesolution. 3

V-185 [Turn Over

b) Explain hyperconjugation with two examples. 4c) Compare the acid strength of monochloro and

trichloro acetic acid on the basis of inductiveeffect. 5½

ORa) Explain the structure and stability of

carbocations. 4b) How does resonance influence bond length ?

Explain with two examples. 4c) Write a short note on free radicals. 4½

6. a) Discuss the hybridisation and structure of ethaneand ethyne molecules. 4

b) Give two methods of preparation and twochemical properties of alkynes. 4

c) Describe the nucleophilic substitution reactionsof alkyl-halides. 4½

ORa) What is Wurtz reaction ? 4b) Discuss the structure and polarity of carbon

tetrachloride and chloroform molecules. 4c) Give three methods of preparation of monohydric

alcohols. 4½

V-185-1

[ 4 ]

b) Show how the molecular mass of a nonvolatilesolute can be determined from a study of elevationof boiling point of a solution. 4

c) Acetone boils at 56.380C and a solution of 1.41gmof an organic solid in 20 gm of acetone boils at56.880C. Calculate the molecular mass of thesolute. (Kb for acetone = 1.7). 5½

ORa) State the law of Chemical equilibrium and derive

the relation between KP and KC. 3b) Apply the law of chemical equilibrium to the

thermal dissociation of N2O4(g) at a total pressureof P atm and deduce that

2

P4 PK1

(Where = degree of dissociation) 4c) 1 mole of H2(g) and 1 mole of I2(g) were taken in a

sealed 1 litre flask and heated at 4400C tillequilibrium. What will be the no. of moles ofHI(g) formed at equilibrium ? (K = 50). 5½

3. a) Derive de-Broglie equation. 3b) Explain the shapes of s and p-orbitals. 4c) Describe the various quantum numbers. 5½

ORa) Write down the Schrodinger's wave equation and

explain the terms involved. 3

b) State and explain Hund's rule. 4c) Draw the electronic configuration of the first

10 elements. 5½

4. a) Define electronegativity. How is it determined ? 3b) Explain three chemical properties of alkali metals

based on the variation of periodic properties. 4c) Explain the bonding and shapes of XeF2 and XeF4

molecules. 5½OR

a) Discuss the variation of periodic properties amongelements of the 2nd period. 3

b) Define electron affinity and the factorsinfluencing it. 4

c) Discuss the chemical properties of Noblegases. 5½

5. a) Write the IUPAC names of the followingcompounds. 3

i)

ii)

iii) HC C – C CH

V-185 [Turn Over

[ 3 ][ 2 ]

I-UG-Bot(P)-I(Back)




1. Describe the structure and reproduction ofbacteriophage.

OR


a) Transmission of viruses

b) Economic importance of bacteria

c) Cell wall of bacteria.

2. Describe the structure and reproduction in Agaricus.

OR


a) Internal structure of Lichen

b) Uredospore

c) Diplanetism.

V-186 [Turn Over

3. Describe the life history of Coleochaete.OR


a) Thallus structure of Vaucheriab) Volvox colonyc) Economic importance of Algae.

4. Describe the causal organism, symptoms, mode ofinfection and control of Rust of wheat.

ORWrite notes on any two :a) Symptoms and control measures of blast of Rice.b) Smut of Sugarcanec) Symptoms and control measures of late blight of

potato.

5. Give an account of life cycle of Funaria showingalternation of generation.

ORWrite notes on any two :a) Thallus anatomy of Marchantiab) Sporophyte structure of Anthocerosc) Asexual reproduction in Marchantia.

V-186-0.6

[ 2 ]

I-UG-Zool(P)-I(Back)




1. Describe the process of Conjugation in Paramaecium andpoint out its significance.

ORWrite notes on any three :a) Cilia of Paramaeciumb) Binary fission in Paramaeciumc) Cells of Sycond) Asexual reproduction in Sycone) Amphiblastula larva.

2. Give an account of larval forms of Fasciola.OR

Write notes on any three :a) Locomotion in Hydrab) Nematoblast of Hydrac) External structure of Ascarisd) Parasitic adaptations in Fasciolae) Female reproductive system of Fasciola.

V-187 [Turn Over

3. Describe the digestive system of Palaemon.OR

Write notes on any three :a) Body wall of Pheretimab) Gills of Palaemonc) Green gland of Palaemond) Cocoon formation in Pheretimae) Social behaviour of honey bee.

4. Give an account of respiratory system of Pila.OR

Write notes on any three :a) Shell of Pilab) Buccal Cavity of Pilac) Oral surface of Asteriasd) Tube feet of Asteriase) Bipinnaria larva of Asterias.

5. Discuss modern trends in taxonomy.OR

Write notes on any three :a) Species conceptb) Zoological nomenclaturec) Artificial and natural system of classification.d) Phylogenetic and Phenotic system of classification.

V-187-0.6

[ 2 ]

I-PG-Com-V (CAB)(Back)



1. a) Define Information Processing System ? Whatare the constituents of information processingsystem ? What are the advantages of informationprocessing system ? 8

b) Write short notes on : 5

i) Role of CPU

ii) Role of input and output devices.

OR

c) Explain the configuration of hardware devices andtheir applications ? 8

d) Write short notes on : 5

i) Storage unit of a computer system.

ii) Basic operations of a performed by computersystem.

V-141 [Turn Over

2. a) Discuss the classifications of memory of computerwith description on each of them. 8

b) Write short notes on : 5

i) SRAM Vs. DRAM

ii) ROM

OR

c) Explain the factors influencing PCperformances ? 8

d) Write short notes on : 5

i) Peripherals devices used with P.C.

ii) PC as virtual office.

3. a) What do you understand with the term LAN ?Write the elements of LAN and with advantagesand disadvantages of LAN. 8

b) What is Internet ? Discuss about back-bone andapplication. 6

OR

c) Discuss about the features of WWW ? 6

d) Write the features of ISP. 4

e) Write the features of Web Browser. 4

V-141-1

[ 2 ]

I-UG-Math(P)-I (Sc)(Back)



Symbols used have their usual meaning

1. The tangents of two points P, Q on the cycloid x a sin , y a 1 cos

are at right angles. Show that if 1, 2 be the radii ofcurvatures at these points, then 2 2 2

1 2 16a . 10

OR

i) Show that dsrdr is constant for the curve

2 21

k rrcos .K r

5

ii) Find the asymptotes of the curvex3 + y3 – 3axy = 0. 5

2. Trace the curve y2 (a2 + x2) = x2 (a2 – x2). 10

OR

Find the perimeter of the loop of the curve9ay2 = (x – 2a) (x – 5a)2. 10

V-188 [Turn Over

Use the Laplace transformation to solve the initial valueproblem y" – ty' + y = 1, y(0) = 1, y'(0) = 2. 10

9. Find the centre and radius of the circle 10

x2 + y2 + z2 + 2x – 2y – 4z – 19 = 0 = x + 2y + 2z – 14.

OR

Prove that the equation

4x2 – y2 + 2z2 + 2xy – 3yz + 12x – 11y + 6z + 4 = 0.

represents a cone; find its vertex. 10

10. Prove that the tangent planes at the ends of anydiameter of a central conicoid ax2 + by2 + cz2 = 1 areparallel. 10

OR

Find the equations of the two families of generators of

the hyperboloid of one sheet 22 2yx z 1;

9 1 9 find

the members of these two families passing through the

point 13, , 13

. 10

V-188-0.6

[ 4 ]

3. Find the area of the smaller portion enclosed by thecurves x2 + y2 = 9, y2 = 8x. 10

OR

Show that the area of the region included between thecardioides r = a (1 + cos), r = a (1 – cos) is

2a 3 8 2. 10

4. Find the volume of the solid generated by the revolutionof the cycloid x = a ( + sin), y = a (1 – cos) aboutthe Y-axis. 10

OR

The part of the parabola y2 = 4ax bounded by the latusrectum revolves about the tangent at the vertex.Find the area of the curved surface of the reel thusgenerated. 10

5. a) Solve : (2x – 4y + 5)dy + (x – 2y + 3)dx = 0. 5

b) Solve : 2 2 2ypx y p p 1.x

5

OR

c) Solve : 2 3 dyx y xy 1.dx

5

d) Solve : y = x + a tan–1p. 5

6. Find the orthogonal trajectories of the family of curves

i) x2 + y2 = 2ax

ii) r = 2a cos. 10

OR

A body weighing 16 kg is dropped from rest through aliquid which offers resistance proportional to thevelocity. If the limiting (terminal) velocity is 1ft/sec,how long does it take the body to reach half its limitingspeed ? 10

7. Solve :

i) (D2 + D – 2)y = x + sin x. 5

ii) (D2 – 3D + 2)y = ex + e2x. 5

OR

Solve : x 1y" y ' y x 1.x 1 x 1

10

8. a) Find the Laplace transform of e–t.cos2t. 5

b) Find the inverse transform of

2p 3 .

p 2p 10

5

OR

V-188 [Turn Over

[ 3 ][ 2 ]

I-PG-ODI-IV(Back)



1. ÓóÓæÀÿÀÿ AÁÿêLÿ†ÿæ H ™þöÀÿ þÜÿæœÿ†ÿæ "fê¯ÿœÿ `ÿç;ÿæ' Lÿ¯ÿç†ÿæ{ÀÿLÿç Àÿç Àíÿ¨æßç†ÿ {ÜÿæBdç Aæ{àÿæ`ÿœÿæ LÿÀÿ > 12

A$¯ÿæœÿ¯ÿfê¯ÿœÿÀÿ D’úÿ{¯ÿæ™œÿ "lÀÿ{Àÿ Àëÿ™#Àÿ' Lÿ ÿç†ÿæ{Àÿ Lÿç Àÿç ÷†ÿç™œÿç†ÿ{ÜÿæBdç D{àÿâQ LÿÀÿ >

3. "Hs' Lÿ ÿç†ÿæ µÿç ÿç{Àÿ ÷†ÿêLÿç†ÿ œÿç{ÑÌç†ÿÀÿ ÿç†ÿ÷ ÷’ÿæœÿ LÿÀÿ > 12

A$¯ÿæ" çèÿÁÿæÀÿ Óí¾ö¿' Lÿ¯ÿç†ÿæ{Àÿ µÿæ¯ÿS†ÿ Àíÿ¨æ;ÿÀÿ Lÿç Àÿç D‡ê‚ÿö {ÜÿæBdç÷LÿæÉ LÿÀÿ >

3. Ó ÷Óèÿ ÓÀÿÁÿæ$ö {àÿQ : 4 + 4Lÿ) †ÿæZÿ { ÷þ Àÿæ{f¿ œÿæÜÿ] AÓë¢ÿÀÿ

AÓ†ÿ¿ Aœÿ¿æß AÉëµÿ ¯ÿç¢ëÿLÿç {þæÀÿ µÿæ¯ÿœÿæ {þæ ÷æ~- ÷ ÿæÜÿ

{µÿsçAdç Aæfç {Ó { ÷þÓç¤ëÿ >A$¯ÿæ

V-134 [Turn Over

LÿæÜÿ] Éæ;ÿç LÿæÜÿ] œÿç†ÿ¿ ÓëQ¾æÜÿæ àÿµÿç ÿæÀÿ àÿæSç Adç A¯ÿçÀÿ†ÿ fæSç

`ÿç ÿ Sõ{Üÿ AæÉæ’ÿê¨ DgÁÿ þßíQ,LÿæÜÿ]S{àÿ ¨æ{ÓæÀÿç ÿç þõ†ëÿ¿ ¨æ¨ ’ëÿ…Q >>Q) fæ~ç ÀÿQ, ¯ÿçœÿæ ¯ÿæ™æ, ¯ÿçœÿæ ÷†ÿç ÿæ{’ÿ

Ó¯ëÿLÿçdç ÓÜÿç ÿæÀÿAœÿ¿œÿæþ AsB þÀÿ~ >>

A$¯ÿæœÿ`ÿç{Lÿ†ÿæ ¨Àÿç þëBô fæ~ç ÿæLëÿ þæSëœÿæÜÿ]fê¯ÿœÿ H þÀÿ~Àÿ ÀÿÜÿÓ¿ A{þæWLëÿÀëÿ{ä{†ÿ÷ AfëöœÿÀÿ ¯ÿçÌæ’ÿ Qƒœÿ ¯ÿæ~êjæœÿ, Lÿþö AæD µÿNÿç {¾æS >

4. {¾ {Lÿò~Óç `ÿæ{ÀÿæsçÀÿ Óóäç© DˆÿÀÿ ’ÿçA : 2 × 4Lÿ) fê¯ÿœÿ {Ó÷æ†ÿ œÿç…É±ÿ{Àÿ Lÿ'~ {µÿsç ÿæLëÿ ™æDdç ?Q) LÿçF Ó{Üÿ H ÓÜÿç ÓëQ ¨æF ?S) ""AæÜëÿÀÿç ’ÿçA {Ó þ’ÿçÀÿ ¨ÀÿÉ, AæÜëÿÀÿç ’ÿçA'' - F Lÿ$æ LÿçF

LÿÜÿçdç ?W) ™íþ™æÀÿ ’ëÿ”öæ;ÿ ÷ æ†ÿ Lÿ'~ AZÿœÿ Lÿ{Àÿ ?Yÿ) þÀëÿÓæSÀÿÀÿ fê¯ÿ;ÿ ÓæSÀÿ LÿæÜÿæLëÿ LëÿÜÿæ¾æBdç ?`ÿ) `ÿ¸æüëÿàÿ þÜÿLÿ{Àÿ LÿçF ¯ÿæs µëÿàÿç $#àÿæ ?d) œÿçf œÿæµÿç-LÿÖëÀÿê ¯ÿçµÿ÷þ{Àÿ LÿçF µÿ÷þ~ Lÿ{Àÿ ?f) Àÿ$ D¨{Àÿ H ¨æ~ç †ÿ{Áÿ †ÿ{Áÿ LÿæÜÿæLëÿ {’ÿQ# LÿæÜÿæÀÿ þ†ÿç

µÿ÷þ {Üÿàÿæ ?

V-134-0.5

[ 2 ]

20132. Determine the horizontal component of earth's magnetic field and moment of a magnet. 3....

Documents

Transcript of 20132. Determine the horizontal component of earth's magnetic field and moment of a magnet. 3....